Neither men looks like they’re in the best headspace.
You could even make time to get to know the children yourself.
If you feel comfortable, you could take them on an outing or to an event without their father in attendance if your relationship develops to that point.
One of the positive things about dating a divorced man is that you may get to know his family in the process.
The end of a marriage is usually a painful experience for those involved.
Remember that the man that you're dating is with you now, and there was a reason for his divorce from his ex-wife.