I would also agree with clipping the tips of the claws. It is fairly easy to do and can save you a lot of pain. I would also suggest that you use a technique that is used with dogs and that is to try not to use your hands or arms at all when removing the cat. I would just slowly get up and keep your hands/arms at your side and hopefully the cat will just sort of slide off.
"Never doubt that a small, group of thoughtful, committed citizens can change the world. Indeed, it is the only thing that ever has." - Margaret Mead