My two granddaughters and I stayed for a week in Anne's charming flat/apartment. It is also her home so there are lots of lovely nick-nacks and family photos all around to enjoy. The girls really loved eating breakfast outside on the patio every morning to the wonderful smell of honeysuckle and other flowers. Anne herself is very welcoming and couldn't have been more helpful.
The local bus stops are two or three minutes walk away and will take you either to the Chelsea/Kensington areas, Oxford Circus or Victoria Station. I'm sure there are more routes but we didn't use them. The bus to Chelsea stops right outside the wonderful Peter Jones Department store (part of John Lewis now), so if you want to avoid shopping in the crowded West End that's the place to go. Also, The Battersea Power Station shopping centre will be opening in the autumn (fall).
We also enjoyed travelling on the Thames Clipper ferries right down to Greenwich. The Cadogan pier stop is just on the other side of Albert Bridge. If you visit Battersea Park, the prettiest place in the park is the old English Garden. Definitely worth a visit. Lastly, if you want to taste proper traditional British food, try The Latchmere pub on the main street.
Once again thank you, Anne. It was a pleasure meeting you.