Looking for a room in Edinburgh

I work in London currently in a job that has me working with children. I'm moving back to Edinburgh after four years being in London and overseas for a while too (Cambodia and Iraq). I'm looking for a double room ideally, but open to a single room with a max budget of ?650 a month all inclusive. I can move in on 28 September, but might be able to start the tenancy before then if it's an earlier start date.