Oh hi there OP, I live in Derbyshire so maybe can help.
You don't say what kind of place you would like to live in - city (we do have one!) big town, village - but there are a lot of options.
You also don't mention a budget but I am assuming decent coming from Berkshire.
Alfreton itself is not the nicest, sorry to anyone who lives there, it;'s a bit rundown and the area is under resourced unfortunately. Does mean that property is cheaper tho.
My thoughts off the top of my head:
Duffield - posh village about 15 miles away, easy commute up the A38, nice small shops, lovely primary schools, highly rated secondary school. Not a very diverse community but lots of local involvement. Property prices higher bc of school but could buy a 4-bed detached for about £550-700k.
Derby itself - advantage of being in the city tho it's not the nicest, it has decent shops and facilities eg cinemas, museums, swimming pool, sports facilities. Good locations in Derby inc Allestree, Darley Abbey, Littleover, Spondon - all of these have good or reasonable secondary schools (primaries pretty good all over IME) and decent bus links to town. Property cheaper than Duffers - 4-bed detached around £4-500k in Littleover.
Other ideas - Belper is a nice small town with an active community and decent transport links; secondary not very well rated tho.
Bit left-field - West Bridgford in Notts is really lovely, great schools, super shops and community vibe. Lot more expensive than most of Derbys but actually only about 20-25 miles from Alfreton.
HTH but if you can quote a vague budget and an idea of the kind of place you would like to live I could give more info.