Echo. The thing about kids is that they don't want another father. They want their parents to be happy. They'll remember how you treat their mother, regardless of what they say. It's difficult for them. Be mindful and respectful of that and you'll be fine.
Keeping away from them now is a great idea because you don't want to form a bond with them, or them with you at this point. If things don't work out, that could be devastating to them. If they do work out, then Kaffe's advice is solid.

Take the time to get to really know her and her you. No reason to do otherwise...

AJ


"Our lives begin to end the day we become silent about things that matter" MLK
Put the glass down...
"Yesterday I was clever so I wanted to change the world
Today I am wise, so I am changing myself."