J.G.
In the drawer liner section of Walmart or Target you can get some non slip stuff on a roll. A few bucks for a lot. Hot glue it on the back of the place mats you have. Works like a charm! As for the plates, hmmm. Try Babies R Us for some with a rubber ring at the bottom. They are dishwasher safe, I'm pretty sure. I know I've seen them, I just can't be sure of where. BabiesRUs seems a good place to start.