Its easy - only a few basic rules for showing household pets
1. Spayed/Neutered if over 8 months
2. Not declawed
3. Groomed (bath, combing, etc.)
4. Good personality, likes people, doesn't mind strangers handling them, plays with toys.
I would first attend a local cat show in your area and watch what goes on. Then go home and work with your cat. I start off kittens with "table work" - being cooperative on the table, playing with toys, letting the person go over body, head, etc. and stretching them out and learning to be comfortable with things.
I have done the same thing with adult cats too - "table work".
Here's some links for the various associations, you'll have to check out their show calendar to see when a show is scheduled in Tennessee.
If you think you might be interested, I'll be glad to help you out on what you need to do and take to the show for your cats