Presumably she either works or gets HB Olympia, but she didn't start this thread to be questioned on her finances.
riamay, I think you knew what the responses would be. Deep down you know he is being unfaithful. I don't know why you can't bear the truth or what he does give you to make up for the way he has treated you. But there are plenty of decent men out there and you DO deserve better.
You don't just have yourself to think about, you have 2 girls there who need a full time father and a happy mother. What makes you think that if he can treat his first wife like this, and treat you the same, that he'll be there for his daughters? He won't. This is a man who puts his own selfish needs above those of anyone else, including those closest to him.
If you won't take the advice you have been given then there is nothing more that anyone can do or say. You are financially independent, your home is in your name. You are in a better situation than most.
If you don't do anything, then accept that this is your life. Full of suspicions, betrayal and lies. I personally would not want to live like that, but he won't change if he doesn't have to. And right now you are allowing him to continue by not taking a stand. I would have thought you'd want better for yourself and your girls.