I hate incompetent letting agents

I've just been messed around by two letting agents for about three weeks - the first took a deposit and then gave the flat to someone else and the second faffed around then lied about the terms and conditions (again, the deposit will be refunded).

Therefore I need somewhere in London (within striking distance of either Eltham or Woolwch) for a couple of weeks before the new attempt at renting goes ahead - could one of the various Londoners on my friends list help out please?.