My place is a spacey single bedroom, in a house right in the heart of East London. You're 8 minutes away from Mile End Tube stop, which takes you into Central London in 30 minutes or less. This tube line runs all night on the weekends! The bus is also 5 minutes aways.
If you prefer walking, all the hippest spots in East London are right down the road - Brick Lane, Bethnal Green and Hackney. And if you enjoy a bit of greenery, walk around the beautiful Victoria Park (only 5 minutes away).