Absolutely critical to do this in an area as free from dust, lint, and fibers as possible. Seriously. Once you peel the backing off the wrapsol, that stuff is stickier than fly paper and will pick up every little bit. I'd do this on a clean table top, tripled-washed to remove an trace of fibers, etc. and pay CLOSE attention to the clothes you're wearing to ensure they don't trasmit fibers or lint as well.
As others said, use liberal amounts of fluid, especially on your hands. Most important to get the wrapsol onto the machine, you don't have to worry about alignment at all. Once its on the surface, it slides really easily. Spray your fluid, including hands and fingers, peel the backing off, and get it down onto the machine ASAP. Then, slide it around for positioning. Don't worry if the corners don't initially stick. It will take 20-30 minutes for enough fluid to diffuse and evaporate before the corners start to bend down. Squeegee the excess fluid and bubbles out, and wait until each piece is reasonably adherant before moving to the next. Figure it will take about 2 hours to do the job right, and did I mention to be uber-careful about lint and fibers?
I'd do the bottom first (will show less if you make a mistake and get lint/fiber underneath), then the palm rest, and save the top for last.