This is a lovely walk which takes you to the highest point of the Quantock Hills. It is exhausting at some points, but the views are worth the effort. You can go on a basic hike, which takes you seven miles northwest of Taunton. It is quite a steep walk, although you can take the easier route.
If you would like accomodation check out this Somerset Bed and Breakfast in the quantock area: http://www.westleighfarm.com