As the child in this situation (my parents have been divorced since I was two) I never really had a problem with my mother going out with anyone. Never really cared if the guy she brought home liked me. When I got old enough to actually have an opinion though she did ask what I thought. Most of the guys she brought home seemed nice to me. They didn't treat me like I was a little kid, even when I was. Now that I'm on the dating side, I think it would really depend on the kids themselves. How they behave around me, and what horror stories I hear from the parent. I've met a lady and her kids. She wasn't to bad, but I couldn't stand the kids. They talked back, threw tantrums, threw stuff around the house and they were of an age to know better. I wouldn't date her just because of having to deal with that. I'm also rather young to be having to help raise kids half my age anyway.

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"BOY: On a hot summer night, would you offer your throat to the wolf with the red roses? GIRL: Will he offer me his mouth? BOY: Yes. GIRL: Will he offer me his teeth? BOY: Yes. GIRL: Will he offer me his jaws? BOY: Yes. GIRL: Will he offer me his hunger? BOY: Yes. GIRL: Again, will he offer me his hunger? BOY: Yes! GIRL: Yes. BOY: On a hot summer night, would you offer your throat to the wolf with the red roses? GIRL: Yes. BOY: I bet you say that to all the boys!" -Meatloaf