Well Hamilton is pretty nice (from the little I've seen). I know there's stereotypes and what not for Hamilton as a whole but I've been there and it's great so if you are looking for cheaper rent I don't think you could go wrong. I've never been to London funny enough but I don't doubt it's a great place to live, a lot of hot girls apparently :-)
Anyways good luck on your search. I'm sure you will be able to find something since you are currently employed. Just gotta keep on plugging away.