David's place is in a great location. There are many coffee shops and restaurants nearby that get busy and fun at night, but it feels away from the bustle of the more populated/touristy areas, especially during the day. Because it is in a popular spot for nightlife, it can be a bit loud in the evenings, but, with the bedroom in the back, it never bothered us.
If you're headed to popular destinations from the apartment, there are many bus and train options. The bus stops are closer, and we had a wonderful time seeing the city from the bus both during day and night. Also spitalfields market is SO close and is a must for tasty donuts or curry.