Wow! Your situation is really complicated. It is true that you've got three children together but it seems like your husband's behavior has destroyed your trust. I feel a bit uneasy about commenting on people's marital problems but if it were me I wouldn't put up with a relationship like that at all, but if you're able to let go of the resentment and completely forget what he has done in the past, continue to stay with him and try to make it work.

If he had done it one time, ok, nobody is perfect but it seems like he has lied to you multiple times, that's not right. I think you should be with someone who gives you all the love and respect you rightfully deserve, but that's just my opinion.

I hope you're both able to work things out for the sake of your three kids. Good luck to ya.