We spent the weekend at Clairs Studio apartment which is in a quiet leafy suburb near the center of Greenwich and was 5 minutes walk from the nearest train station. The Studio is located at the end of the Garden and is amazingly designed as it is actually underground! This may sound very dark and dank but it has been designed with large skylight windows in the roof making it very light and spacious. The design is very clean and bright through out and it is obvious a lot of money has been spent on the designer interior.
The only downside is that there is no TV so I would advise you bring a laptop or tablet and use the wifi (which was pretty quick)