I'm considering trying to move out of my parents' house under my own steam - advice/logistics?

If you talk to the local job centre they might be able to refer you to a disability advisor or a separate disability help into work scheme, if finding work becomes difficult. I didn't have to wave any Disability Credentials around to get help either even though I technically have some. I'm down in Exeter tho idk if it works different in London but it's a thing at least somewhere.