Don't know it very well but some of the villages south of Nottingham are quite small (Thrumpton, Barton in Fabis), Gotham is quite nice and has a school, not sure about Kingston on Soar and Ratcliffe on Soar tho.
Also what about the villages in North Leicestershire? - both Kegworth and Castle Donington are OK, not sure about how good the schools are but both villages have shops, buses etc, Lockington and Hemington are nice too but smaller especially Lockington which doesn't have a school although I think Hemington does.
A couple of things I would say about living south of Nottingham is that the commute to Derby could be a bit of a pain, not sure what the drive up the A50/A6 is like but going along the M1 and off at J25 along the A52 can be really busy. Also the A453 which takes you to the M1 is generally vey busy in the morning. Not sure how easy the commute from Leicestershire would be.
Also the villages in S Notts/N Leics are under the flight path for East Midlands Airport so it can be quite noisy, especially in Kegworth as the planes are literally just a few hundred feet over the houses, although I guess you get used to it! Also Donington Park racetrack is near Castle Donington although not sure how many days the racetrack is used.
There is a new train station (with car park) at East Midlands Parkway, which is right next to Ratcliffe on Soar power station and I think trains go from there to Derby, as well as to Nottingham and Leicester.
These areas are also quite pricey as they are in prime commuter belt for Leicester, Derby and Nottingham. It is a nice area though and the countryside is quite pretty.
Hope this helps a bit - the East Midlands is a nice part of the world to live in and there's loads of stuff to do due to being so close to three cities and some lovely countryside!