Hello Again from London,
Exploring London is one of my favorite things to do. I just grab my camera, look at a tube map, and plan my route. Although there are many amazing places in London, my absolute favorite place to take pictures is by the London Bridge tube stop. Obviously one of the main attractions here is the London Bridge, but if you walk around you can see the Tower Bridge. Not only does this area have famous landmarks, but it also is surrounded by beautiful buildings and amazing architecture.
Another fun place to visit is by the Westminster Tube stop. This is where Big Ben and the London Eye are located. There are many things to do and see in this area of London. My advice is when you are done with the touristy things just hop on a bus and go to some random place to explore. As long as you have your Oyster Card and a fully charged camera you are bound to have a fantastic time!