Tintern lies along the A466 surrounded by wooded hills. Walks from Tintern generally take off into these woods or go along the edge of the River Wye.
For a description of a simple local walk, see A Quick Trip to England
There are also many leaflets describing walks around Tintern available in the area. The Old Station for example sells a pack of six walks. Other leaflets, in pubs etc are free. Recently the local councils have got together and issued a booklet of six Tintern based walks.