Thanks for all the replies.
I particularly liked what Ron D said on the matter. And agreed with him when he said "The reason, I would think, that you want baptism applied to the children of professing believers (which aren’t necessary true believers) is because you believe that God’s word teaches that the children of professing believers are to be baptized. This, however, is not at all the same reason you just gave, which is that you cannot know who the elect are."

My question is how exactly is the covenant different because it indeed it is. Jer 31

What book would be recommended to give the biblical reasons for Paedobaptism.
If I was asked whether I was going to baptise my child, my answer would be yes because I see it be biblical. I go to a credobaptist church and still have much to learn about the paedobaptist position.