I know that many elementary art teachers teach from a cart, so I thought it might be helpful to see how I managed teaching ceramics from a cart in a general education classroom. I used to share an art room with the other full-time art teacher at my first school, and while I avoided it as much as possible, I did have to figure out how to manage teaching ceramics on the cart. I actually came up with the ceramics toolboxes idea when I taught on the cart because I wanted a way to quickly pack up all the tools and have them ready to roll. Each of our classrooms has a small sink, so I could still use my small water dishes when I arrived in the classroom. Each group of student desks would receive a toolbox, just like one table in my classrooms. Students would work with clay right on top of their desk, and at the end of class I would collect their finished sculpture in the clay tray (or copy paper box lids if that was what I had.) I stuck with one-day-only sculptures since there was no way for me to store anything over a week, but at least the students still got to use real clay even though they were not in the art room. Now I have more storage space, so I would have students bag up their sculpture inside a ziplock bag, store it in the clay tray, and wrap the tray in a garbage bag to save any escaping moisture before the next week. At the end of class each student used a baby wipe to clean up- one for their desk and a second one for their hands.
In this photo you can see how I would prep the cart for clay. On the top shelf there is a basket that includes grade level planning sheets/sketches as well as any instructional photo handouts (laminated to protect from clay). You can also see a spray bottle-for misting inside the ziplock bags before storing, water dishes, and at least one or two paper towels per student. students can build their sculpture on top of the paper towel to cut down on muddy clay sticking to the desk. The second shelf holds six clay toolboxes. The bottom shelf is empty- that is where the tray of finished sculptures would go when it is time to wheel everything back to the art room.