In reply to cb_6:
I'd suggest the Southern end of Stanage.
Apparent North, Hamper's Hang and round the corner towards the Cowper Stone. There are lots of nice problems and short solos there, many with quite friendly landings, and it's a lovely place. Likely to be a fair few people around if it's nice at the weekend, which is bad if you're looking for solitude, but could be good if you need an extra mat and a spotter.
A wander along the Froggatt/Curbar escarpment could be good too. There are lots of nice secluded buttresses in the trees as well as the popular bits of the two crags.
Alternatively, if you're up for combining a good walk with a few bits of climbing, you could get up onto Derwent Edge where Dovestones Tor is the big crag, but there are lots of other little crags, blocks and boulders too. Back Tor and Howshaw Tor could provide some fun little climbs, and there are pretty spectacular views from up there. Long-ish walk in from Cutthroat Bridge or Ladybower, shorter but steeper walk from Fairholmes or Strines.
Do you have maps and/or guide book(s)?