when i started dating again after my divorce, i didn't really think about it. i was more worried they'd be the ones asking me if i had kids or not (very long story on why i don't). but only one guy asked, and when i said no, he said, "after a 14-yr-marriage?" and he seemed so shocked and almost disgusted by it that i didn't take it any further.
i got very fortunate because the guy i'm dating now doesn't even want marriage let alone children. when i was hoping to adopt this summer, he supported me 100%, and he was there for me when it fell through and didn't happen.
if a guy had kids, i would probably have steered away. mainly because it means there is the possibility of an ex-wife out there (unless he's a widow). if there's an ex-wife, then there will be contact with her, and i don't think i would be able to deal with that.
i've noticed that my girlfriends who have children and are divorced are always in relationships with men who have children too. i don't know how it works out, and i don't really understand it all. i think that would be really hard to get used to having all those kiddos going in so many different directions and trying to keep everything organized.
so for myself, it never really was an issue, but i probably would have stayed away from the dads.