If you're coming in early February Heston Blumenthal's new restaurant at the Mandarin Oriental will be open. I'd imagine it'll be very busy though so you might have some difficulty getting a table. Other restaurants I'd recommend are: The Harwood Arms (Michelin starred pub in Fulham) Hawksmoor (possibly the best steaks in London) Viajante in East London looks very interesting as well. Is there any particular sort of food you're thinking of going for? For shopping you might want to have a look in Old Hat near Putney Bridge. They stock a pretty wide selection of vintage tailoring at fairly low prices.