The best way to learn about cat shows is to visit one!

Find a show near you by visiting:
http://www.tica.org http://www.cfa.org
Talk to breeders. Get to know the various breeds and see which one(s) catch your fancy. If you think that cat showing is something you may be interested in, ask a breeder, whose cats you like the looks of, if they have any kittens, cats, or retired breeding cats that might make a good competitive candidate in the Alter class. Our first Premiership CFA regional winner was a cat that had been shown as a whole cat, but the breeder didn't need in her breeding program. She neutered him and we had a wonderful time showing him! He was already used to the show hall so it was even better than starting out with a kitten.
--Lorraine