That would be in the Acts of the Apostles chapter two where saint Peter, the first pope, says, "Turn back to God! Be baptized in the name of Jesus Christ, so that your sins will be forgiven. Then you will be given the Holy Spirit. This promise is for you and your children. It is for everyone our Lord God will choose, no matter where they live." (Acts 2:38-39) - One hopes that the 'garbage' you do not want to see is not a reference to sacred scripture. In any case, the scripture is about God's promise that is put into effect through repentance and baptism for parents and their children. Truly if the promise is for both the parent and the child then it is effected in the same manner for both, that is, through baptism. And since baptism is a work of God which cleanses one from sins and incorporates one into the body of the Lord, Jesus Christ, then what counts is God's intention in the act of baptism.
It is a little bit disturbing to see your post referring to household baptism as 'garbage' but perhaps it is something else that you intend to call garbage - maybe the doctrine which recognises baptism as an act of God rather than a human act of testimony about having come to personal belief in Jesus Christ and repentance for one's sins?
The specific date would be about 33 AD, on the day of Pentecost.
Why did you start in verse 38? Why not start in verse 37?
"Now when they heard this, they were pricked in their heart, and said unto Peter and to the rest of the apostles, Men and brethren, what shall we do? Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost. For the promise is unto you, and to your children, and to all that are afar off, even as many as the Lord our God shall call." - Acts 2:37-39
After Peter's sermon, his hearers were "pricked in their heart" and they asked Peter and the apostles what they must do to be saved. IOW, just as Peter wrote in his first epistle, their resulting baptisms were "the answer of a good conscience toward God" (I Pet. 3:21). When you can find me any newborn infant who will respond accordingly or who can give an "answer of a good conscience toward God" before being baptized, then let me know. I won't be holding my breath. Furthermore, by preaching repentance as a prerequisite for baptism, Peter was merely following the Lord's instructions:
"And that repentance and remission of sins should be preached in his name among all nations, beginning at Jerusalem." - Luke 24:46
Yes, repentance is a prerequisite to "remission of sins", so when you can show me a newborn infant who repents, then we'll talk. Again, I won't be holding my breath. Additionally, what I just cited was a portion of what Luke recorded in reference to "the great commission". We both know how Mark's record of the same reads, don't we?
"And he said unto them, Go ye into all the world, and preach the gospel to every creature. He that believeth and is baptized shall be saved; but he that believeth not shall be damned." - Mark 16:16
Believe first and then be baptized. Couple that with Jesus' prerequisite of repentance and you have the foundational principles of the doctrine of Christ:
"Therefore leaving the principles of the doctrine of Christ, let us go on unto perfection; not laying again the foundation of repentance from dead works, and of faith toward God, Of the doctrine of baptisms, and of laying on of hands, and of resurrection of the dead, and of eternal judgment." - Hebrews 6:1-2
Your "beliefs" in regard to infant baptism are unfounded and ought to be renounced and replaced with scriptural truth.
