Just follow your instincts.
Ask yourself if you can handle dealing with a man with kids - who is actively involved with them. If he's an active father then I'd say that says a lot about his ability to handle his responsibilities - so it's a good thing, in a way. But it's all about if you're willing to share time.
If you're already telling yourself that it's a no on that ... if you have to his main focus in the relationship and no one else, then maybe it's good to keep it moving. If you're dealing with an active dad, his kids will and should always come first. But just because they come first doesn?t necessarily mean that they will be the ONLY thing he?s concerned about. There may be more than enough room for you.
I'd say give him more time if you really like him. Sounds like you're on the fence and may be willing to compromise. See as much as you can of what it looks like on a day-to-day basis. Is the baby mama calling nonstop? Is she texting? Does he talk about anything other than his kids? etc.
This was just the first date. It's OK if you go on a couple more to see if it's a good fit or not. You're on the fence right now. See which side he NUDGES you onto.
And keep your options open as you do that.