okay, lemme add my $.08 worth. . .
Seems like everyone's given great advice, and I agree with what's been said. Another thing to think about is your reaction to/interaction with the kids. My husband had a son before we got married, and I'll be honest - I had problems with him at first because I wanted my husband (then boyfriend/fiance) to myself, but as I got older and matured, I realized that it is extremely important and essential that he have a relationship with his son and that he would always be a part of OUR lives, as long as I was married to him.
But I guess I jumped the gun a little too soon. You haven't had your first date yet, huh?
To quote a famous woman (the lady on the train at the end of "Coming To America") GO FOR IT HONEY!
Wish you the best! After all, this date may give you some insight as to how the "relationship" may progress. Keep us posted!