orthodox catechism:
Acts 16:15 "And when she was baptized, and her household"
Acts 16:33 "and was baptized, he and all his family"
Acts 18:8 "believed on the Lord with all his house"
Acts 10:44 "While Peter yet spake these words, the Holy Spirit fell on all them which heard the word" 47 "Can any man forbid water, that these should not be baptized, which have received the Holy Spirit as well as we? 48 And he commanded them to be baptized in the name of the Lord."
1 Corinthians 1:16 "I baptized also the household of Stephanas"
Orthodox believers know for sure from Holy Tradition that apostles baptized the children.
But for the protestants who don't trust in Holy Tradition, arise some questions: Can any man forbid the water, that children should not be baptized? In house of Cornelius, does the Holy Spirit fell on all them which heard the word or not? Children has ears to hear the word or not? Holy Spirit fall only on adults and avoid the children? The answer:
Matthew 19:14 "Suffer little children, and forbid them not, to come unto me: for of such is the kingdom of heaven".
In the heaven, could be children prematurely died or not?
John 3:5 "I say unto thee, Except a man be born of water and of the Spirit, he cannot enter into the kingdom of God".
The apostles baptized the children because (Psalm 50:6) "in sin did my mother conceive me" (Romans 5:6) "death passed upon all men, for that all have sinned".