Thanks for the tips, you guys! I don't think we have cornmeal but we definitely have parchment paper. Never even thought of that, but tonight is the next pizza night so I'll give it a shot!
If you do try the cornmeal thing one day, make sure it's coarse (I use polenta). The grains are like little ball-bearings under the dough, they roll and everything slides really well. Also, the flavour and texture are very nice.