I think showing chickens is much much better than showing horses or dogs, less politics and such. Like what has been said you can sometimes find them in your area. There are probably state poultry associations in your area that have a couple shows. Entries are cheap and simple. You dont need $1000 clothes to show, if you are a youth and doing fitting and showing all you need is black pants and a white longsleeve shirt.
Basically how the show goes is you send in your entry form then keep your chickens from getting broken feathers (clipped wings are a disqualification) then about a week before the show you wash the chicken and keep it in a clean cage after that. Also feed corn after you wash them, it hardens the poop so its not all runny and so it wont get on the feathers. When you get to the show you check in and all that and put your birds in the cages.
Normally the morning of judging thats when you fix the birds up.By that I mean put some baby oil or vetRX on the comb, wattles, face, earlobes, legs, and beak, it makes a huge difference. I reccomend getting a shine stuff for them (if they arent a white bird, they collect dust fast). We get it from
Walmart in the hair department, I think its just called shine or something, black people use it alot (not being racist), its like $2 a bottle and lasts forever. It works really good on the roosters and on hens it makes them look good too. You basically spray it on them and wipe them down with a soft rag. After that you basically wait for the judge to do their thing. In the mean time thats when you talk with other people and get tips and hints from the old timers, get new breeding stock, and just wait. It sounds boring but I like it.
Also if you have birds with a beard, muff, or crest you should take the water away the morning before showing because they will go to drink and their beard/muffs/crest will get wet and they wont look good at all.