The main tool is the pizza peel. It’s multi-purpose and is also used to clear out the old ash, scrape clean the base, move the fire around and clear space to cook on. It needs to have a long enough handle to stop you hands from being cooked.
The peel needs to have a long enough handle. A wooden peel is better for putting the pizza in the oven, but remove it and manipulate it with the metal one.
We find it useful to have a few wooden peels so that you can assemble the next pizza directly on the wooden peel and have 2 or 3 waiting in line. Remember some semolina on the peel as a lubricant!