Your bf cheated on you (again), yet he still wants to be friends with you?
I hope that I don't sound mean, but it sounds to me as though he's simply trying to come across as a good guy and maybe keep his options open for dull moments in his life. Know what I'm saying? As though you ought to just sit by the wayside kindly ~ every now and then he'll grace you with his presence and maybe get lucky. F that!
He doesn't deserve you now! It's really too bad that he seems to have lost his conscience. But, not all men are like that. Men of certain ages, statures, or psyches are like that unfortunately. Sometimes, it takes a first love to wake them up. Other times, f'ing around is kind of drilled into their personality for
years. Some guys never outgrow that lifestyle! There are also decent guys right around the jerks. It can be pretty tricky.
In my opinion, you're best off just being alone for a while trying to find out who YOU are and who you like. All of the other stuff will come together soon enough, trust me! But, getting to know yourself is limitless. You will always have yourself. And, that does not have to be a bad thing. This is a great experience to truly get to who you are. What do you like? What do you dislike? What turns you on? What do you enjoy doing? What are you good at? ~ Some key questions to ask yourself and seriously start answering these Q's to yourself. The answers will give you a much better picture of who you are and where you want to be.
Forget the ex....I know it isn't easy. Six years hurts. I understand.

But, you're in a great space to let go of the past and look to the future.