Painshill was created in the 18th century and is a masterpiece of landscape design. Full of follies and beautiful viewpoints, it's great fun to explore and often has something for the kids to do, too.
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Getting there: This one's a bit of a slog by public transport, as you'll need to go into Clapham Junction before heading back out to Cobham and Stoke, then catch a bus. Car is simpler, at roughly a 30 minute drive.