I used to think I would NEVER date a man with kids. Ever. Period. It would not be my first choice but I do realize at my age (34, almost 35) I might have to rethink that stance.
I love children and hope to be a mother one day so it's not the idea of children that turn me off. It is the idea of somebody else's YOUNG children that frightens me. I guess for me it would be on a "case by case basis".
My friend went through a nasty divorce this year. Her and I always joke when we start dating somebody we will request a copy of their divorce decree to be sure they are really divorced, a copy of their credit report and a criminal background check, lol!