Exmoor National Park (just over 5 miles away) has over 700 miles of foot paths and bridleways that include the southwest coast path which takes you through the longest stretch of naturally wooded coastline in Britain. Not forgetting the famous Two Moors Way that joins Exmoor to Dartmoor; if you need more choice then why not walk the Tarka and Ruby Trail which take in some of Devons finest countryside.
Take a look at the following link for some excellent information covering walks along the North Devon Coastline.
Only 20 minutes drive from the center of Exmoor, North Hayne Farm is well situated for keen or novice walkers.
NB. When you arrive, don't forget to come to our reception for a choice of OS maps and information for local walks.