iloveshoes I am in Derbyshire and it's not far to Lincs, nearer Nottignham even less far IYSWIM.
Nottingham is notorious for being a nightmare for commuting, so I agree with those who say, live on the right side.
Driving from Derby to Nott city centre takes 20 mins at some times of day, more than an hour at 8.30am tho.
I'd be very tempted to look at Woollaton or Bramcote. Don't know much about schools there tho.
Ilkeston in Derbys is a nearby town but not a very affluent area. Good house prices tho and certainly some very good schools. The Catholic school (if that's yr bag) in Ilk (St John Houghton) always gets good results and has a very on-the-case HT IIRC.
Heanor is another nearby town which is also not the most posh, but may offer what you want. Heanor Gate Science College is well rated, a lot of people from out of area choose to go there which is usually a good sign.
I'm talking secondaries here because of the age of yr older DD; I have always found primary education not such an issue (ie most primaries I have been in have made a good impression).