The ācāryas specifically mention that in this verse the words mātuḥ anugrahāt ("by the mercy of their mother") refer to the breast milk of their mother. In India it is a common belief that if a baby is fed his mother's milk for at least six months, his body will be very strong.
(Srimad Bhagavatam-----5:2:21-----purport).

A baby gives pleasure by speaking sweet words in broken language, and when the sons and daughters are grown up one becomes involved in their education and marriage. Then there are one's own father and mother to be taken care of, and one also becomes concerned with the social atmosphere and with pleasing his brothers and sisters.
(Srimad Bhagavatam-----7:6:11-13-----purport).

When a baby drinks milk from the breast of his mother, this is a good sign of health. So the elderly gopīs were not satisfied with chanting mantras to give protection to Kṛṣṇa; they also tested whether their child's health was in order. When the child sucked the breast, this confirmed that He was healthy, and when the gopīs were fully satisfied, they had the child lie down on His bed.
(Srimad Bhagavatam-----10:6:30-----purport).

Whenever there is some danger or some inauspicious occurrence, it is the custom of Vedic civilization to have qualified brāhmaṇas immediately chant Vedic hymns to counteract it. Mother Yaśodā did this properly and allowed the baby to suck her breast.
(Srimad Bhagavatam-----10:7:11-----purport).

As the mothers cared for their respective babies, by the arrangement of yogamāyā the babies thought, "Here is My mother," and the mothers thought, "Here is my son." Because of affection, milk naturally flowed from the mothers' breasts, and the babies drank it. When the mothers saw small teeth coming in, they would count them and be happy, and when the babies saw Their mothers allowing Them to drink their breast milk, the babies also felt transcendental pleasure. As this transcendental affection continued between Rohiṇī and Balarāma and Yaśodā and Kṛṣṇa, they all enjoyed transcendental bliss.
(Srimad Bhagavatam-----10:8:23-----purport).

While crawling in curiosity, Kṛṣṇa and Balarāma would sometimes catch the ends of the tails of calves. The calves, feeling that someone had caught them, would begin to flee here and there, and the babies would hold on very tightly, being afraid of how the calves were moving. The calves, seeing that the babies were holding them tightly, would also become afraid. Then the ladies would come to rescue the babies and gladly laugh. This was their enjoyment.
(Srimad Bhagavatam-----10:8:24-----purport).

When He was a mere baby crawling in the yard, one day a snake appeared before Him, and the Lord began to play with it. All the members of the house were struck with fear and awe, but after a little while the snake went away, and the babywas taken away by His mother. Once He was stolen by a thief who intended to steal His ornaments, but the Lord took a pleasure trip on the shoulder of the bewildered thief, who was searching for a solitary place in order to rob the baby. It so happened that the thief, wandering hither and thither, finally arrived just before the house of Jagannātha Miśra and, being afraid of being caught, dropped the baby at once. Of course the anxious parents and relatives were glad to see the lost child.
(Srimad Bhagavatam----introduction).

Once a pilgrim brāhmaṇa was received at the house of Jagannātha Miśra, and when he was offering food to the Godhead, the Lord appeared before him and partook of the prepared food. The eatables had to be rejected because the child touched them, and so the brāhmaṇa had to make another preparation. The next time the same thing happened, and when this happened repeatedly for the third time, the baby was finally put to bed. At about twelve at night when all the members of the house were fast asleep within their closed rooms, the pilgrim brāhmaṇa offered his specially prepared foods to the Deity, and, in the same way, the baby Lord appeared before the pilgrim and spoiled his offerings. The brāhmaṇa then began to cry, but since everyone was fast asleep, no one could hear him. At that time the baby Lord appeared before the fortunate brāhmaṇa and disclosed His identity as Kṛṣṇa Himself. The brāhmaṇa was forbidden to disclose this incident, and the baby returned to the lap of His mother.
(Srimad Bhagavatam----introduction).

The Lord sanctified the River Yamunā from the beginning of His transcendental pastimes in the world. While His father Vasudeva was crossing the Yamunā with thebaby Lord Kṛṣṇa for a safe place at Gokula on the other bank of the river from Mathurā, the Lord fell down in the river, and by the dust of His lotus feet the river at once became sanctified.
(Srimad Bhagavatam-----1:19:6-----purport).

If we at all want to end the cause of our conditioned life, we must take to the worship of Lord Śrī Kṛṣṇa, who is present in everyone's heart by His natural affection for all living beings, who are actually the parts and parcels of the Lord (B.G.18:61). The baby in the lap of his mother is naturally attached to the mother, and the mother is attached to the child. But when the child grows up and becomes overwhelmed by circumstances, he gradually becomes detached from the mother, although the mother always expects some sort of service from the grown-up child and is equally affectionate toward her child, even though the child is forgetful. Similarly, because we are all part and parcel of the Lord, the Lord is always affectionate to us, and He always tries to get us back home, back to Godhead.
(Srimad Bhagavatam-----2:2:6-----purport).

Here is an example of the extreme mercy of the Lord, even to His enemy. It is said that a noble man accepts the good qualities of a person of doubtful character, just as one accepts nectar from a stock of poison. In His babyhood, He was administered deadly poison by Pūtanā, a she-demon who tried to kill the wonderful baby. And because she was a demon, it was impossible for her to know that the Supreme Lord, even though playing the part of a baby, was no one less than the same Supreme Personality of Godhead. His value as the Supreme Lord did not diminish upon His becoming a baby to please His devotee Yaśodā. The Lord may assume the form of a baby or a shape other than that of a human being, but it doesn't make the slightest difference; He is always the same Supreme. A living creature, however powerful he may become by dint of severe penance, can never become equal to the Supreme Lord.
(Srimad Bhagavatam-----3:2:23-----purport).

At the time of dissolution the Lord sometimes appears as a small baby lying on a leaf of a banyan tree, floating on the devastating water. Therefore Devahūti suggests, "Your lying down within the abdomen of a common woman like me is not so astonishing. You can lie down on the leaf of a banyan tree and float on the water of devastation as a small baby. It is not very wonderful, therefore, that You can lie down in the abdomen of my body. You teach us that those who are very fond of children within this material world and who therefore enter into marriage to enjoy family life with children can also have the Supreme Personality of Godhead as their child, and the most wonderful thing is that the Lord Himself licks His toe."
(Srimad Bhagavatam-----3:33:4-----purport).

While they were taking Kayādhu to the heavenly planets, they met Nārada Muni, who stopped them from taking her away and took her to his āśrama until Hiraṇyakaśipu's return. In Nārada Muni's āśrama, Kayādhu prayed for the protection of the baby in her womb, and Nārada Muni reassured her and gave her instructions on spiritual knowledge. Taking advantage of those instructions, Prahlāda Mahārāja, although a small baby within the womb, listened very carefully. The spirit soul is always apart from the material body. There is no change in the spiritual form of the living entity. Any person above the bodily conception of life is pure and can receive transcendental knowledge.
(Srimad Bhagavatam------7:7----summary).

Because Kaṁsa was not satisfied by Vasudeva's instructions, Vasudeva devised a plan. He offered to bring Kaṁsa all of Devakī's children so that Kaṁsa could kill them. Why then should Kaṁsa kill Devakī now? Kaṁsa was satisfied by this proposal. In due course of time, when Devakī gave birth to a child, Vasudeva brought the newborn baby to Kaṁsa, who, upon seeing Vasudeva's magnanimity, was struck with wonder. When Vasudeva gave Kaṁsa the child, Kaṁsa, showing some intelligence, said that since he was to be killed by the eighth child, why should he kill the first? Although Vasudeva did not trust him, Kaṁsa requested Vasudeva to take the child back.
(Srimad Bhagavatam------10:1----summary).

If we wish to become fully Kṛṣṇa conscious, we have to give up the shackles of māyā. Or, if we remain with māyā, we should live in such a way that we will not be subject to illusion, as did the many householders among Lord Caitanya's closest devotees. With His followers in the renounced order, however, Lord Caitanya was very strict. He even banished Junior Haridāsa, an important kīrtana leader, for glancing lustfully at a woman. The Lord told him, "You are living with Me in the renounced order, and yet you are looking at a woman with lust." Other devotees of the Lord had appealed to Him to forgive Haridāsa, but He replied, "All of you can forgive him and live with him. I shall live alone." On the other hand, when the Lord learned that the wife of one of His householder devotees was pregnant, He asked that the baby be given a certain auspicious name. So while the Lord approved of householders having regulated sex, He was like a thunderbolt with those in the renounced order who tried to cheat by the method known as "drinking water under water while bathing on a fast day." In other words, He tolerated no hypocrisy among His followers.
(Sri Caitanya Caritamrta-----introduction).

Vermilion, kha-i (fused rice), bananas, coconuts and turmeric mixed with oil are all auspicious gifts for such a ceremony. As there is puffed rice, so there is another preparation of rice called kha-i, or fused rice, which, along with bananas, is taken as a very auspicious presentation. Also, turmeric mixed with oil and vermilion makes an auspicious ointment that is smeared over the body of a newborn baby or a person who is going to marry. These are all auspicious activities in family affairs. We see that five hundred years ago at the birth of Lord Caitanya Mahāprabhu all these ceremonies were performed rigidly, but at present such ritualistic performances hardly ever take place. Generally a pregnant mother is sent to the hospital, and as soon as her child is born he is washed with an antiseptic, and this concludes everything.
(Sri Caitanya Caritamrta-----1:13:110-----purport).