Don't forget it's summer here in England, so bring your waterproofs
Some ND grads would be a good call too.
Personally I like getting detail shots so the 70-200 would be on my list but of course it depends what you like shooting. And as others have commented, there's a LOT of walking to be done, so it's much better to have limited kit than to dread picking up the camera bag each day. "Would I be happy carrying this for 6 hours?" is a very good question to ask yourself when packing.
But certainly the 24-105 for walkaround, 14 for wideys if you like, and the 50 for low light should see you nicely.
Be prepared for historic buildings to prohibit flash, and some to bar photography altogether. Not such an issue in London, in my experience, but I've come across it a lot in other countries (lots in Spain for example). "If you want a picture, buy our postcards" sort of thing.
I'd take 3 batteries - one in the camera, one in the bag and one charging. It's dashed annoying to run out of juice in a great location, and I speak from sorry experience here.
Hope you have a great time.