We all need a little bit of protection round the back end - that is why they invented the Frazer-Nash turret...
It can also be a good thing on a camera - you are going to scratch the LCD screen for sure at some stage of the camera's life. Every day you will press your nose against the back panel and the screen will get pretty ugly looking.
Hoodman have decided that the best protection is a flexible plastic film. They manufacture their Super Hoodskins in 3" and 3.2 " to cater for different screens. You get two in the packet - just trim them down with sharp scissors until they cover the back screen. Then you peel apart a protective layer and let static electricity adhere the Hoodskin to the surface of the screen. I have this on the Fuji X-10 and so far it is easy to clean and has held on very well.
If you want a tougher surface than the flexible film, Promaster have introduced their Screen Protector. It is a hard polycarbonate - .8 mm thigk - but is so clear that it does not affect the colours on the screen. It has an adhesive layer that butts up against the camera LCD, so be sure that you have cleaned he LCD as well as possible before mounting it. This is only in 3" mounting.
Both of these styles of protection are under $ 20 - you can hardly afford to let the delicate surface of the LCD go bare at these prices.
Note: The front of the camera has an expensive glass lens surface too - consider a UV filter for it, even if you do not expect to encounter much Ultraviolet radiation. You might encounter a dog nose and they are stickier than UV any day...