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If your dog is a friendly sort, he or she is welcome to play with Dougal. I have a few pieces of agility equipment and a doggy paddling pool. There is also a nice big garden to run around in, as long as you're happy to let them off the lead.
There are lots of walks to go on from Ardnageena on foot. Dunmanus Bay is about 10-15 minutes away. No matter which direction you take, you'll find something beautiful to look at. Other country walks:
Most of the beaches on Sheep's Head are pebbly but if you want sand, there are two amazing beaches to go to for a day trip. One is Barleycove on Mizen Head. O'Sullivans in nearby Crookhaven has an excellent reputation for crab sandwiches. The other beach is Inchydoney, near Clonakilty. It's best to find out when low tide is to get the most space for ball chasing and the like.
The Tin Pub and Eileen's don't have an official policy on dogs, as far as I can tell. However, I've taken Dougal to both on quiet nights and it's been fine. I've always checked on the night so it's probably best for you to do the same.