Well as I said, I don’t have a baptism card (we didn’t get one) and I’ve moved churches several times since then. So I wouldn’t have proof
As to which kind of baptism counts, it may be by immersion, or by pouring. Of course, without any proof of baptism, and assuming you wanted to join the Catholic Church, you could always undergo a conditional Baptism.
Um... I’m not quite understanding the context here. Are you marrying a Catholic? Switching from one church/denomination to another? Or why do you need to document your baptism?
Ordinarily, if I’m not mistaken, any church of any sort that baptizes people, keeps a permanent record. You can phone or email them or write to them asking for a photocopy.
Hope this is helpful. (Please excuse me if I’m misconstruing your situation.)