We had a really enjoyable stay at Nat's place (family of four with a wheelchair). The location was great for walking to London Tower / Bridge. The local Underground stations weren't wheelchair accessible however the local taxis and Uber made this a non-issue. Train noise was a little loud at night (it's right on the train line), and it got a little hot in the apartment due to the hotter than usual weather, so a fan might be nice for people who are affected by the heat, however this was only a minor issue and it didn't really affect our stay. Very nice view from the window too.
Wheelchair access was not a problem which was a large factor for us.
All in all we had a great stay here. Highly recommended