After 10 years with my GF I find myself single again

. Right now I'm not interested in da
ting but it'll happen at some point and I need advice. I have a mental illness, one of the big ones...Dissociative Identity Disorder. It does affect my life though I've been through intensive therapy for it.
I know it's not something you bring up on the first date but when do you begin to touch on it? It can get complicated, as in the insider that goes on the date might not definitely be the one who comes home at the end of the evening. We've been known to switch viewpoints on topics during a conversation.
Mostly I can control it though, and like anyone I want to love and be loved, I just want to be honest about it. But bringing it up in the beginning would scare off most people.
I think I would be rude not to bring it up at all though, and that's where the question of when comes in. When I was with my most recent partner it wasn't a problem because we'd been together for a few years when I was officially diagnosed. I know now what it is, I'm sure the diagnosis is true, and I've learned to live with it.
When do I break it to a potential partner? From their view, until they're told it will just come across as indecisiveness or mood swings. Once they're told it could become a dealbreaker. Any thoughts?