There are 7 FFC (French Cycling Federation Centres) with circuits signposted according to the level of difficulty. Equipment can be hired and in some cases guided circuits are available.
Visit the following site for more information http://www.nouvelle-aquitaine-tourisme.com/Activites/A-velo
There are many on and off road paths for cycling in the area – Routes can be on or off road – paths are sign posted – cycling on Voie Vert or mountain bike trails are available to download here: www.tourisme-hautevienne.com
There are also suitable tracks close to La Vue and bikes can be hired in Chalus.
There are many beautiful quiet lanes suitable for road cycling, where you can travel for many kms / miles and not see anyone, only nature. There are many Cafes / Relais and Restaurants along the way for you to stop and have a break.
A really useful website for all things around the Limousin: www.tourisme-hautevienne.com