Winter landscapes can be very beautiful, especially on a snowy or frosty morning. And you have the beauty spots to yourself!
There are lots of cosy pubs to collapse into after a brisk walk. Or you can visit an old house. Many are open in the winter nowadays, including Chatsworth, Hardwick Hall, Little Moreton Hall and Eyam Hall. Look on their websites for opening times. If you are at Chatsworth you can buy really yummy food from their farm shop.
Or you can search for bargains in the factory china shops in Stoke-on-Trent.