I love Bedlingtons, but they're not for the faint hearted. They're real characters, lots of fun and full of life, but do tend to be incredibly stubborn and single minded and very hard work as pups, particularly if they're from working lines.
I've known quite a few Beddies and Beddie Lurchers and they've all been - erm, interesting 
- but lots of fun and very affectionate. I'd really love a Beddie Lurcher myself.
Bear in mind that working-line terriers are not the same as working-line gundogs and can be very game dogs, which basically means they will have a strong prey-drive bred into them. Unlike many other terrier breeds they're built for speed too and the combination of speed and tenacity that comes with working likes is something many owners can't handle. Think intermittent or non-existent recall, disappearing off over the horizon at the first suggestion of a bunny or similar and sometimes having to deal with a failed kill if they actually manage to catch one up.
Re the shows. The game fair and working terrier and lurcher type shows would be a better place to find out more about working-line dogs and see some non-show (as in Kennel Club) Beddies and see them in action.
From the breed standard “Spirited and game, full of confidence. An intelligent companion with strong sporting instincts. Good tempered, having an affectionate nature, dignified, not shy or nervous. Mild in repose but full of courage when roused.”
I'd say that's an accurate description of the ones I've known.
My concerns with full breed Beddies would be Copper Toxicosis and Cushings, the latter of which is apparently an increasing problem for the breed, plus liver/kidney and some eye problems. If you are going to go for a pedigree you really need to do your research and make sure all the necessary testing is done and you've seen the results/evidence. This website might help. (I was looking into their health because I really wanted a Beddie Lurcher when I was looking for my last pup.)
Hope that helps.