In my experience with LDRs, they almost never work out. Yes, there is a small fraction that do, but in general, they just aren't a good idea, for several reasons.
First, talking about uprooting his life and moving to you after only being together for two months is moving *really* fast, especially since you're newly divorced. That puts enormous pressure on the relationship, pressure neither of you want. I completely understand wanting/needing emotional support from someone, and the perfect someone happens to be hundreds or thousands of miles away. But the only way to keep things from getting messy is to keep it casual.
Second, if he doesn't move, and you two decide to stay together long-distance, it gets lonely. Fast. If you two develop strong enough feelings for each other, the heartache alone from not physically being together further puts a damper on things. It's not a fun way to spend your time. Even if he's rich enough to afford to come visit once or twice a month, that's still a major time suck. After a while, you'll both realize the time and money just isn't worth it. As I'm sure you know, love alone can't keep a relationship going.
Those are the main two problems I see. Your kid doesn't even enter into it, other than the fact that she needs her mother with her head in the game, not getting depressed over failing relationships.
So please be careful, think of your kid first, if you *must* continue the relationship, try to keep it casual for as long as possible. Commitments at that distance easily go awry, and feelings get hurt. Listen to your friends, they sound like they have your best interests at heart. Good luck.