We had a perfect week in London stying with Anita in her house. Though, living in one room with four people (2 adults and 2 children) can be a challenge, it worked out pretty well for us. Our children enjoyed the garden and the pets (a cat and a neighbour's dog) they could play with. Anita was very friendly to the kids. They liked her much.
The accommodation is ideal in order to explore London. From Brockley station you can reach the center of London in about 30 minutes via overground/railway and underground and it is still zone 2!