Ngaire, I used a pick-up service van that was included with BA, but this is from the Rembrandt's web site.
By Air
Heathrow Airport
16 miles (26km).Via the Underground direct to South Kensington (Piccadilly Line)
Gatwick Airport
Take the Gatwick Express train to London Victoria, then take the District or Circle Line, two stops to South Kensington.
