If I can offer some simple advice...
You are your daughter's keeper, her father, her supporter and her rock. The father of the baby's father is his #1 fan, his father, his biggest influence and his supporter. It's much the same and also different, but the key is that you two keep these families together. Your daughter's mother (whether you're together or not) and his mother (whether they're together or not) can be emotional, can be bitches, can try to take this to nasty places. Don't let that happen. If something nasty happens or is leading that way, you call the father of the kid and ask him to sit down for coffee and say hey, let's take care of this shit. The mothers are problematic. I've seen that in so many cases like this. Keep a clear head, be civil and work it out as men. Just my 2 cents. Good luck...