Your kids don't have to have their lives torn apart by a divorce. You and your husband have it in your power to divorce amicably and respectfully, making sure your kids come out OK on the other end of this. Your husband may indeed be a cad for his repeated cheating, but try to look beyond that and your personal feelings of being betrayed. You are getting out of the marriage so that is enough to give him the message you won't be treated like that. Then leave it behind and be professional and respectful as you move through the divorce. In the best of all possible worlds, you and your husband can have shared custody. That way you don't have to set up a "visitation schedule." Neither parent will be a "visitor"; you will each be a parent and each spend time with your children. Unless one of the parents is abusive, or unless the parents cannot be civil and respectful, this is a good model for making sure your kids don't have their lives torn apart. They can spend some time each week with you and some with him. Kids can do very well with 2 parents even though the parents don't live together anymore.

I got divorced and did shared custody with my XH. The children live with me 64% of the time and with him 36%. This works out to 5 days in every 2 weeks for him. It works great. I like having those few days away from the kids for just me. And this way they keep their father in their lives. Kids need their father!

If you want any more info on how to divorce while keeping the kids' needs paramount, feel free to PM me.

Here is some information on a divorce process that emphasizes respect and puts kids first:
http://www.collaborativepractice.com

Have you considered going to a counselor (just you) for support and help with these questions? I would recommend a family therapist since you have concerns about the impact divorce will have on your children.

Good luck to you.