Sorry, missed the bit about schools in more detail. Off the top of my head....
Primary schools
All Saints (Infants on one site, then Juniors on another site): just slightly undersubscribed (think it's around ~55-ish intake for 60 places with two-form entry)
Castle View: a bit more under-subscribed
St Giles (technically in Starkholmes): not sure about places, but it's a much smaller school
Secondary schools
Highfields: in Matlock proper (over two sites, lower and upper) where 80-90% end up going. Seems good for sports, performing arts; very strict on things like uniform and having your books / folders (good for some kids, not for others). Pastoral care...I've heard mixed things - some think it's totally fine, other have had issues.
Lady Manners: the one in Bakewell people mentioned above; bus goes from Matlock. More academic, also good for sport. Maybe 10% go there rather than Highfields. Have friends with kids who love it there; also have friends who started there but moved to Highfields as they prefer it. Pastoral care is supposed to be stronger.
Anthony Gell: in Wirksworth and quite different. Only a couple each year go there. Non-uniform, more casual, good for music.