Chelsea

Chelsea is a really wealthy neighbourhood in the west. There aren't many interesting things here apart from a few beautiful pieces of architecture. Streets are filled with Rolls Royces and Burberry wearing people. There's a weird feeling of isolation here, where poverty seems almost absent. It's a good neighbourhood to just walk around when it's sunny out, but not particularly interesting if you're looking for nightlife or affordable restaurants.
Sights:

• Royal Hospital Chelsea is an extraordinary building with beautiful details, cannons and golden statues. You can apparently enter the building itself, but I've just seen the outside of it which is fancy enough as it is. 
• Albert Bridge is one of the most beautiful bridges crossing the Thames. It gets a slightly different look depending whether it is day or night.
• Brompton Cemetery is one of the London's magnificent seven; Victorian, big, atmospheric cemeteries around London. Brompton is one of the finest of these. It's a nice walk among fancy tombs and chapels.
• Lots Road Power Station is a great piece of architecture. If you like industrial architecture and factories, you might want to check it out. Back in the day it was called the Chelsea Monster.

Drinking:

• Chelsea is not the best place to go out drinking. Most of the pubs are impersonal and really expensive. If you happen to be in the area, Lots Road Pub is a fairly cozy gastro pub with good beers. The food on the menu looks pretty fancy, but the vegetarian options don't seem too good.  

Museums:

• Thomas Carlyle House is a small museum that used to be the
  
  home of a philosopher and poet Thomas Carlyle. The house is an excellent example of the kinds of marvellous Chelsea Houses where the bohemian folk used to live in the 19th century.

Areas around Chelsea: Battersea, Knightsbridge, Kensington, Belgravia, Fulham