I came across an interesting site while browsing through LifeHacker (which is pretty interesting itself). Anyway, Instructables has an article on how to fix your laptop LCD if it’s broken. It’s pretty easy to follow, has pictures of every step, though you might want to check if your laptop manufacturer has a guide before you start taking your laptop apart.
While on the subject of laptop repair, IraqiGeek has an article on how to fix a laptop keyboard. It’s a pretty hard core guide though, so not for the faint-hearted. Also, here’s an article on how to deal with a spill on your laptop. Watch out with the hair-dryer bit though, this guy managed to melt some of his keys!
Anyway, might be worth checking if the damage is covered by your Home Insurance. Some of them have an accidental damage policy that will cover you if you accidentally break your laptop!