Call TICA and see if you can register her online for faster service in getting a number. I'm assuming you have the blue slip registration? If not, then you may only be able to show her one day in the kitten class without a number. Any time after that, she'd have to have a registration number.
I'd ask Ed what he washing his Sphynx in and when (usually you would do it the night before the show).
You need towels or curtains to cover 3 sides of the cage (inside) and a towel on top and bottom. A small litter pan and litter, your food/water dishes and cozy bed for her to curl up in at the show.
Main thing is to be sure she is spottless clean - ears, body, eyes, paws.
When you enter the show, tell them on the entry blank you are a novice and if they have any helpful hints, to let you know. When you get to the hall, set up the cage and then put her in it. The catalog will have her number that she will be "known" as in the show, so mark the page and mark (circle) all the kitten classes under each ring/judge. That is what you will be going by to know which ring is next. Since she's at the end of the alphabet, you will be one of the last kittens up, so you don't have to rush when they first call the numbers - just keep an ear out for her number to be called in judging/finals.
One thing, judging takes precedence over a final - if she is called for judging in one ring and a final in another - take her to judging first and tell the clerk in the final she's in another ring to be judged and you will bring her to the final as quick as you can.