What should I do wait or move on?

I suspected in my husband was cheating on me for he swore up and down he didn't I cheated on him we tried to work things out we've been together for 8 years married and have 3 kids he met some girl online and after 2 days of talking to her moved in with ur he told me a few days ago that he wants to work things out he loves me but he can't come home because of the memories what should I do. but he needs a lot of time to heal but he won't leave the girls house he filed for divorce and he said it take some 6 months to be with someone to see if he can date they take pictures together in they kiss but they don't have sex. it also takes 6 months for the