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Please consider reading if you can help me! I want to move in London in September!

Looking for a flat/house in LondonHello guys! I am about to move soon. I would really like your help! Do you know any sites except Gumtree that I could look for houses and flats in the UK - London?
To be more specific: 
I'm looking for a house close to Elephant and Castle - which means area SE1 and maybe in areas SE16, SE11 and SE17. Then, if I get too desperate - I will look at area E1 
Also I will be sharing the flat with my roommate, and our maximum budget is 800 pounds per month (both). So we may share the room, but need two single beds in the room. 
So if you know anything, please send it to me guys! I want to move in September so I must find the house/flat and book it in advance. 
Thank you
and have a nice day

Thank you!