My partner and me are just back from a week in the area, never been before.
Crichton Tram Museum was twee but nicely done if you like grams. We are not into trans but still enjoyed it
Carsington water, lots of activities and quite beautiful and not too crowded.
Dove Dale , very pretty and unspoilt
Heights of Abraham : really enjoyed this
Monsal Trail on hired bikes, this was our favourite
Derwent Water : soooo busy at the visitor centre but we walked around LadyBower reservoir (5.5 miles) and we loved it.
Matlock Bath was good on the Sunday as there were lots of motorbikes and my partner loved looking at them.
We are not walkers but still enjoyed the break very much and has inspired us to walk more.