Replacing a broken laptop screen is more often than not, a very easy project. If you have a broken screen, don't jump on ebay and sell it for considerably less than it's worth. Instead, go to ebay and try to find the replacement LCD, the entire cover for your computer, or even better, your computer with a blown motherboard but intact screen! The later case, you not only get a new screen, but extra memory, a backup hard drive and perhaps even a WiFi card you didn't have before.
It helps to know your computer. If you don't, do your research first. Some laptops have the LCD glued (epoxied) into the frame. In these cases it's usually much easier to replace the whole cover. Most don't have this problem though.