Pizza stones need preheating before you use them, which leave you in the unenviable position of trying to stretch the dough on a hot stone. Make sure that you have a paddle to place the stretched pizza directly on the stone.
Some pizza stones are so heavy you can hardly lift them and the sheer weight of them is an accident waiting to happen at some time.
Commercial pizza stones are expensive, but their use is not restricted to pizzas: bake French bread for a thicker crust on them, as well as other bread and bagels. Rolls and cookies are also good when cooked on a pizza stone.