Sounds like you need to look into a couple of things then.
A morning stroll aorund Trafalgar Square, wander to the National Gallery, followed by a mouch up the Strand towards Convent Garden....for lunch.
Perhaps a look a China Town etc then to the British Museum in Bloomsbury followed by a show in the West End (back around Covent Garden)
Or an Underground ride up to Camden Town, go to Camden Lock Market, the walk along the canal to Regents Park back towards town.
The flower Market a Brick lane is a good alternative for London feeling, or a walk along City Road for Sundat Brunch at the Eagle.....
Do you have a map of London? Try
http://www.streetmap.co.uk/ and type in the name of the street you will be staying on. There's a lot of information there.
I'd also say post a messge on the DDK Forum, quite a few Londoners on there...
http://www.ddk-online.com/