Definitely move your precious cat first. I have moved several times in my life and every time with a cat or cats. What I have always done is if you can bring your cat to the apartment the night before the move and keep it in its carrier with the door open and allow your cat to be able to get acclimated to the new sounds, smells, and surroundings. Allow it to go anywhere it wants but make sure you cat proof any places it could get stuck in or small places it could crawl into and hide. You and your cat will be fine, and during the move place it in it's carrier with door open with food and litter box in a room you can keep closed until move is over, this will help stress levels on the both of you. Good luck!!!