Try non-slip mat or what we call 'carpet grip' here.
http://www.cakesaroundtown.com.au/ca...tting-BLUE.jpg In Australia you can find it at all discount variety stores. I'm not sure what you'd call them in the US, but it's a fairly cheap, easy to use, versatile and sticky material.
By lifting the discs do you mean pickup off the floor or convey along a surface?
If you want to convey off the surface, you can use some timing belt similar to what you received in your kit, but turn it inside out and experiment with the teeth to come up with a system that works.