The popular – and free – Fitzwilliam Museum is a local gem. Part of the University of Cambridge, it's open from Tuesday to Sunday, and only 15 minutes from the hotel by car. You can wander its ornate, 19th-century halls and admire masterpieces by Titian, Renoir, Constable and Palma Vecchio, Greek and Roman statues or pottery, coins, medals and books from across the world.