Known as the 'Palace of the Peak', this vast edifice 3 miles northeast of Bakewell has been occupied by the earls and dukes of Devonshire for centuries. Inside, the lavish apartments and mural-painted staterooms are packed with priceless paintings and period furniture. The house sits in 25 sq miles of grounds and ornamental gardens, some landscaped by Lancelot 'Capability' Brown. Kids will love the farmyard adventure playground. From Bakewell, take bus 218 (£2.70, 15 minutes, half-hourly).