Bakewell market is on tomorrow morning (Monday). It's always packed full of dogs at holiday time and I don't imagine tommorow will be any different. The weather is not likely to be too great though, so that might put a few people off, but it will still be a great day.
Plenty of coffee shops to sit outside of and some lovely walks to do whilst your there.
Check out the friendly pet shop on Water street, they have some fantastic treats and toys for your dogs as well as the usual food and pet shop bits and bobs.
You can always find out which pubs and coffee shops are dog friendly by taking a copy of my Dog Friendly Bakewell book with you! Check out the website
Have a great day!