[MRCboicgy]

If you fly into LCY, you might just want to try and find a hotel near the Docklands area there, where the airport is. Hotels can be considerably cheaper in that area than closer to city center, unless there is a large event going on at the Convention Centre next door. Many of those hotels are newer, which is good as they offer free WiFi and other amenities that some of the more tired old hotels won't have (and let's admit it, there is almost nothing as bad as a tired British hotel).

Now, it will suck when you fly out of Heathrow, because it's a good 90 minutes by taxi, tube, whatever from the Docklands to Heathrow, even on a Sunday morning. Having said that, you can easily get into the city via tube or DLR from that area, and there are lots of good places to eat around the nearby Canary Wharf. It's also a quick trip up to the Stratford City Mall, which has great shopping (and really good kebabs in the food court, believe it or not).

Being a tourist, even if you aren't a museum person, I do have to recommend the British Museum. It's my favourite in the world. Other than that, you can't go wrong.