You should read this explanation of different lcd panels before you buy anything.
The quality of the image on a lcd monitor has more to do with the type of panel it has than what brand it is. Dell and Apple make arguably the best monitors when it comes to quality of image and color representation.
Wow Ryken, you are now my new friend. You are the first person on this forums that have actually mentioned different panel types.
But on to the main topic, LCD Screens! If you want to save money you may have to make a tough decision. You can get a really nice 20'' monitor like a Dell 2007wfp or a NEC 20WMGX2 like mine which are IPS monitors and give you a really nice, accurate, vivid picture or a 24'' monitor which is large but may not have as accurate or as nice of a picture.
What I noticed though is while people may notice the differences between two monitors side by side, in general unless they do graphics works they generally have no idea that their colours are off (aka, it doesn't matter).
Basically if you aren't doing anything that needs colour accuracy and you aren't picky like me get a big monitor that's within your budget. I would pick a name brand like Samsung or Viewsonic but for the most part anything would work nicely on the market. Make sure it has the connections you want (DVI vs VGA, composite connections, etc) and if you need it the ability to swivel or to rotate the screen 90 degrees).
BTW if you get a big screen with a larger resolution your graphics card needs to be powerful enough to drive it otherwise your gaming may look worse. I wouldn't worry too much about LCD speed, I've used 12ms screens and it hasn't been a problem with me gaming. Hope that helps, sorry about the long read!