<font face="Verdana, Arial, Helvetica, sans-serif" size="2">Originally posted by Wingnut:
In terms of location, your order of preference based on ease of getting around / proximity to stuff to do / actually being in London should be:
(1) Kensington
(2) Docklands
(3) Croydon
and there's a big gap between 2 & 3... 
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You can fill the gap with Paddington and Trafalgar, which more than fit the bill for easy of getting around.