If I were you I would stay at Lynn’s place. You will be vey close to Burmondsy Station. The space is big and clean. Location is great, 15 min walk to Tower Bridge and 4 min in bicycle. I RECOMMEND TO RENT A BIKE. There’s a bike station very close to the flat so take advantage of it. I was able to move around the city and hit London’s most popular attractions in a short period of time. Thank you Lynn :D