Oh, and from my understanding, the "Right of Abode" is only for British citizens and people with legal claim to live in the UK (i.e. being born there or having a parent from there).
I would say that your two options to legally move to the UK would be to either apply to be a British National or get a Work Visa on your passport which will allow you to visit over there and get a job, then once you have an employer, I believe your employer can apply for a work permit for you for an extended stay (not 100% sure on this one). I also do not know how long a regular Work Visa lets you stay there.