We lived in Ealing Broadway for 2 years (West of London) last time we came here.
Now we are in Putney (South West of London) because it has a direct 15 minute train into waterloo, where I work. It's also a great spot right near the thames.
I did look at a couple of flats in south kensington. One of them was so small you had to move the dining table to use the pull down bed.