In my line of work, I get alot of questions on how to clean the LCD screen on their new laptop. Unfortunately, most people either don't know what to do or they do the wrong thing.
The most cost effective way to clean your screen is to use a damp cloth and then using a dry cloth to dry the screen off. Be sure to be careful that you do not apply too much pressure to the screen as it may damage it.
There are also LCD cleaners available on the market. These also work very well and they come either in a can (usually some type of foam) or they come in a package of wipes. You can pick these up for about $5 and up at any computer store.
One last word of warning: never use any amonia based cleaner on your LCD screen. Not only will it not clean the screen very well, but will damage the screen in the process.