Everything is not for everyone. I really do beleive in a strong black family. If it is workable, and you love your man, work it out for your sake, your man's sake, and your children. But if you know you won't be happy, your children won't benefit from you staying together. If mommy is happy, then the kids are happy. It is possible to still be great parents with out being together.
I can honestly say that I DID NOT stay for the children. I think it does have a lot to do with what the circumstances are. In my case I have to set an example for my son and daughter. I have to show my daughter that she does not have to tolerate or settle for disrespectful crap. I want to show my son the right way to love and respect a woman.
My fiance was cheating, I found out and had to end it. Hardest thing I ever had to do in my life. I am a firm believer in once a cheat always a cheat. Men cheat because we women let them. So, in a situation like mine, I had to leave.
But as I mentioned before, everything is not for everyone.
Good Luck!