...maybe we should check out some B & B's
Wanda, this is not what you've asked for, but hear me out. Last year we stayed in a B & B in Muswell Hill, North London. About 25 minutes Tube ride from Leicester Square, all on Piccadilly Line. On TripAdvisor it's rated #2 of 512 B & B's in London and it's called Rhodes Avenue Homestay. We, too, were shocked at the price/value ratio and a little burned out trying to pick a hotel, and we are so pleased that we stayed here instead. A lovely couple, Elli and Haya, run it, and they were so helpful and fun; never too much but just right. A great breakfast every morning-I mean great…and a small town/village environment that was a sight to see in itself, with great restaurants too.
All this for 90-100 GBP per night. You will not-WILL NOT-find a cleaner place to stay.
On our arrival, Elli took us for a tour of his town and a walk through the nearby Alexandra Palace. A B & B gives you a built in tour advisor, and Elli was super helpful; he also makes great espresso.
You have a bit of time getting to and fro to the heart of London, totally worth it. It's a bargain, trust me.
http://www.tripadvisor.com/Hotel_Review-g186338-d3296471-Reviews-Rhodes_Avenue_Homestay_B_B-London_England.html