Thanks again. I'm off to try and find double-sided carpet tape.
Amonaug, you're right, I could just use carve regions for the gears which is the simplest way to do it. The only reason I would consider using a carrier is that I think it would cut the carve time way down since it basically just has to cut out the shape, whereas the carve region would require a lot more cutting. Maybe I'm trying to over-engineer it, the carve region approach may be less time-consuming in the long run.
Kevin