Had a lovely stay at Jennifers apartment which was in a great location as I was working near by. Also great place for bars and food, and I enjoyed going for morning runs down the thames path. Bed was super comfy (has a great night sleep) with a lovely shower and a nice kitchen to have a coffee whilst looking out at the shard was particularly nice.
I would say if you super-super light sleeper, you can hear the slight noise of the trains but I found it very therapeutic and trying the local beers help you drift off too so barely noticed it.