Here is one of the Arguments:
Matthew 19:13-14 13 Then children were brought to him that he might lay his hands on them and pray. The disciples rebuked the people, 14 but Jesus said, "Let the little children come to me and do not hinder them, for to such belongs the kingdom of heaven."
P1: Believers should baptize members of the kingdom
P2: Children that believers have are members of the kingdom
C: Hence, believers should baptize the children they have
It seems valid and sound to me.