I stayed in one of the London House apartments this past summer and I absolutely adored the space! I rented a small studio apartment located in the posh Courtfield Gardens community (Earl's Court). The neighborhood was just heavenly and a ways from the downtown hustle and bustle. Also, the famed Earl's Court Station was just a 2 min walk away. To travel to tourist locations, I merely had to take a 10 minute tube ride on the Piccadilly Line. London House made me feel quite at home and I couldn't have asked for a more pleasant experience.
Tip: Ask about summer apartments or short-letting locations. Great value, great experience.