DHK, sometimes I wonder if English is your native language. Could you per chance be one of those French Canadians? The sentence you quoted, "He commanded THEM to be baptized," says nothing of who did the baptizing. "THEM" is a reference to the persons in the household of Cornelius. To paraphrase, "Peter told the new believers they had to be baptized." Who did it we don't know but the written account in no way excludes Peter.
You just believe what you want to believe in complete disregard to Scripture. The Magesterium and Catechism means more to you than the Bible at this point.
Acts 10:48 And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry certain days.
--There is a subject: HE
--There is a verb: COMMANDED.
--There is an object of the verb--THEM
"Them" does not include the subject "he." This is really basic grammar.
Peter did not do the baptizing.
The same was true when "Christ baptized." Though it clearly says at that time that it was not Christ that baptized but his disciples. Peter is following the example of Christ. He is delegating authority.
Paul said: "Christ sent me not to baptize."
Peter took the same position.
Again, I have to question your understanding of English. Nothing says or even implies that only adults were baptized. In fact, the angel told Cornelius, "He will speak words to you by which you will be saved, you and all your household." He didn't say "all the adults in your household." He left no one out. Of course we can speculate that there were no children in that household but that's all it would be--pure speculation--and perhaps a little wishful thinking on your part.
Here is what Peter preached:
Acts 10:34 Then Peter opened
his mouth, and said, Of a truth I perceive that
God is no respecter of persons:
35 But in every nation he that feareth him, and
worketh righteousness, is accepted with him.
36 The word which
God sent unto the children of Israel, preaching peace by Jesus Christ: (he is Lord of all
37 That word,
I say, ye know, which was published throughout all Judaea, and began from Galilee, after the baptism which John preached;
38 How God anointed Jesus of Nazareth with the Holy Ghost and with power: who went about doing good, and healing all that were oppressed of the devil; for God was with him.
39 And we are witnesses of all things which he did both in the land of the Jews, and in Jerusalem; whom they slew and hanged on a tree:
40 Him God raised up the third day, and shewed him openly;
41 Not to all the people, but unto witnesses chosen before of God,
even to us, who did eat and drink with him after he rose from the dead.
42 And he commanded us to preach unto the people, and to testify that it is
he which was ordained of God to be the Judge of quick and dead.
43 To him give all the prophets witness, that through his name
whosoever believeth in him shall receive remission of sins.
This is what Peter preached:
God is no respecter of persons; of righteousness, "Ordained" or predestination, and remission of sins.
How many children are going to understand these things in order to do what is commanded in verse 43:
"whoever believes in him shall receive remission of sins"?
There were no children baptized because there were obviously no children that could understand the message enough to put their faith in the message, and consequently be baptized. Comprehension must come first. Small children and infants don't have that do they?
Please use common sense.