Cabinet War Rooms
Buck House
Whitehall
Downing Street
Horseguards
Trafalgar Square
National Gallery
National Portrait Gallery
Houses of Parliament
British Museum
Tate
Tate Modern
Westminster Abbey
Sir John Soames Museum
The Inns of Court
The Royal Courts of Justice
The Old Bailey
The Museum of London
Mansion House
Guildhall
St Pauls
The Tower
Tower Bridge
Train to Hampton Court
Train to Windsor
Train to Oxford
A West End Show
A Play at the National or some other "serious" venue
A play at the Royal Court or some other "fringe" venue
That should keep them tired and occupy them for a little while.
They are here for 5 days not 3 months.........