My brother-in-law and sister-in-law and I are staying in London for a week in July 2015. We're looking for advice on areas to stay while were there. We'll be renting a 2-bedroom apartment for the week, but having never been to London before, we're not sure where to start looking. We'd prefer something closer to the city center, but don't mind taking the tube to get where we want to go and we may need to be farther out to get what we want for the price we're looking for (around 850-1000 pounds for the week). Local charm, easy access to grocery stores, shops, restaurants, etc is our main priority (plus being close to a tube station). Any suggestions would be greatly appreciated!!
I'll be using the standard sites such as HomeAway, VRBO, Airbnb, etc. I just need help on which areas are better than others.