Dremels are your friends. Use a sanding head and use decent speed.
The biggest problem you'll probably have is the dremel "walking away" from you. The wheel is going to try to roll forward and cause some damage on parts you don't want to have save sanded. Positive control is important here, especially when you get close to the edges. You can also often times invert the dremel so the wheel spins the opposite direction, and that helps.
Be careful not to over heat the dremel; keep your hands off the vents.
Not enough is better than too much, so go in small chunks, then expand them. Don't try to get the whole thing in one go.
After you're done, a finer grit sandpaper to finish up, then heat seal, and you're good to go.
Dremels are a lot of fun, once you've got the hang of it.
EDIT: higher speed usually gets better results, busy be careful of it walking away. Practice on a few pieces first.