We stayed in the Vicarage in Kensington. We were only able to book there off-season because it is so popular. With private bath, it is in your price range. Without private facilities, it is cheaper. Nice location near Kensington High Street. http://www.londonvicaragehotel.com/ 10 Vicarage Gate, Kensington, London, W8 4AG - 020 7229 4030

Frances Toronto, Canada