That's a location we'd enjoy, too. I remember some very nice brownstones on a side street that we took on a walk from V&A to Harrod's. There were designer boutiques in there, too.

I think I found the walk in a Fodor's London book. I remember it being about halfway up the boulevard from V&A, on the right. The street looped around to Harrod's. Maybe someone knows its name.

Will be interested in recommendations.

What is your budget?

We're trying to limit it to $250/night.

There is a Citadines on Gluouster Rd, walking distance to the tube ;
V&A , Harrods, Kensington Gardens, good transport. and a Partridges right across the street. No laundry in the apt but there is one on site. Concierge service too. Loads of restaurants nearby

We've had good luck with http://www.vrbo.com/. The apartment we will stay in in Chelsea was listed by them, but the actual booking was from www.londonperfect.com.

Based on clevelandbrown's suggestion, I tried LondonPerfect and, unfortunately, a good candidate property was not available for our dates. I'll keep looking.

We rented from www.basilstreetapartments.com and had a view of Harrods. Well appointed apartments, W/D, WiFi. As name suggests, they're on Basil St.