I agree with the previous posters. If you're still in school, concentrate on your education, and also get as much education as you can. It will be most helpful iin the future.
As for your mother, I know she is difficult. but try to remember what she has been thru. Your father has treated her very badly -- and she is very hurt and ashamed. She should NOT take it out on you, but I'm sure she doesn't realize that she's doing it. She's just very hurt -- she's damaged inside and she can't believe that the man she married would do such a thing to her. I feel very sorry for her. Try to be kind to her -- I know it will be difficult since she's not been so nice to you, but try. She probably needs you more than your Dad but the choice is yours. Don't stay out of feeling "obligated."
As for your father, he's acted badly. But this whole thing is really between your Mom and Dad. It really doesn't have anything to do with you. They both love you deeply --- you of course didn't cause any of it which I'm sure you know. If you think you would be happier with your father, then of course live with him.
Try not to judge all people by the actions of your parents. Most people can be trusted, but of course there's always a few that you can't. People in general are good.
You don't say how old you are, but if your relationship has been good, and you trust your partner, that is of course a bonus, like Lynn said.
I wish you the very best. Take care and God bless. Hugs, Lee