I use a matte finish screen protector and it definitely cuts down on finger prints. The matte finish is also helpful if you use your EeePad for note taking with a stylus. While it may take away from some clarity when the screen is on to me the advantages outweigh the disadvantages.
Here are the pics:
The pic with the screen on makes the clarity look worse than it is. I took the pics with my cell phone. I would just buy one and try it. They can be challenging to install, but are easy to remove if needed.