Honestly, I think leaving it all up to fate is the best way to go. That's how I was with roommates especially. If I got a bad roommate by chance then it wouldn't be my fault, but choosing a roommate ahead of time that ended up sucking? That would be on my shoulders.
Anyways, there were essentially two parts of carts - kitchen and the carts. Oh and a stock team for dry goods like napkins, straws, etc. They were also responsible for the drink carts that went with each cart (heavy things!) and refilled ice. I worked for Stands West (Frontierland, Adventureland, and Liberty Square) so turkey leg, Sleepy Hollow, churro/pretzel, fry cart, Aloha Isle, Sunshine Tree, eggroll cart, hot dog. In the kitchen, people cooked the food and brought it out when they got a radio call for replenishment. At the actual cart, you'd sometimes work yourself and do all functions (register and serve the food), or you'd work with someone and one would do register, one would serve the food. At the beginning of the day, you set up the cart (start heating up any ovens, fill up the chips, etc). At the end of the night, you were responsible for cleaning a cart which involved scrubbing down anything the food touched, fill the napkin holders, dispose of the food that is left, etc.