In reply to Tonnee:
St Bees is probably the closest, although the Bowderstones/Carrock aren't that far (although as a beginner the Bowderstone may not be your bedt bet). Check out Greg's site,
http://www.lakesbloc.co.uk
Armathwaite is an option too, or you could continue around to the Dumfries side and visit the Thirlstane/ Clifton/ Sandyhills. Take a bit longer, and probably not as worthwhile.
On balance, I'd suggest St Bees (but be aware of the descent and the bird restrictions.