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John 4 includes this story:

‘Go home,’ said Jesus, ‘your son will live.’ The man believed what Jesus had said and went on his way home;

51 and while he was still on the way his servants met him with the news that his boy was alive.

52 He asked them when the boy had begun to recover. They replied, ‘The fever left him yesterday at the seventh hour.’

53 The father realised that this was exactly the time when Jesus had said, ‘Your son will live’; and he and all his household believed.

And the Bible also says about the household in Acts 16:

29 He called for lights, then rushed in, threw himself trembling at the feet of Paul and Silas,

30 and escorted them out, saying, ‘Sirs, what must I do to be saved?’

31 They told him, ‘Become a believer in the Lord Jesus, and you will be saved, and your household too.’

32 Then they preached the word of the Lord to him and to all his household.

33 Late as it was, he took them to wash their wounds, and was baptised then and there with all his household.

34 Afterwards he took them into his house and gave them a meal, and the whole household celebrated their conversion to belief in God.

Baptism didn’t happen apart from belief, and infants and little children can’t form such a belief. The idea of “the whole househould celebrated their conversion to belief in God” wouldn’t include infants. They can’t “celebrate their conversion to belief” in something.

And what about Acts 2:37-38 (Catholic Bible):

37 “Hearing this, they were cut to the heart and said to Peter and the other apostles, ‘What are we to do, brothers?’

38 ‘You must repent,’ Peter answered, ‘and every one of you must be baptised in the name of Jesus Christ for the forgiveness of your sins, and you will receive the gift of the Holy Spirit.

How can an infant “repent”? No infant can, and while the New Testament includes many instances of baptism of people who knew and understood what they were doing, it includes not a single instance of infant or small child baptism. When Jesus insisted the children be allowed to come to Him, He did nothing more than lay His hands on them.

If I have the time soon, I will look for more examples in the New Testament in which words are used similarly as “all your household.”