For information on what are LNRs, how to designate one and how to manage one, available at the Natural England website
There are currently 46 Local Nature Reserves in Derbyshire. They are listed below by Local Authority area but some of them have been declared by County Council or town or Parish council rather than the Borough or District Council. Click on the link to find out a bit more about the site. Some of the LNRs have 'Friend's of Groups or management groups that you can join to get involved in the management of the site.