Gamelands and the Shap circles (Oddendale, Iron Hill , Gunnarkeld etc) are very worth visiting, but be warned that its over an hours drive from ulverston - the A590 is busy and slow.
of course you could go the scenic route...

Broughton in Furness IS very hospitable. If you like ancient trees theres some very nice old yew trees in the churchyard there.

the weather up heres finally getting warmer - will be in the 20s this w/e
cx