BP: I'm assuming you're talking about LCD displays and not "flat screen" CRT displays....

First thing to consider is that in my opinion, at the present time, in terms of pure picture quality, you'll never beat a CRT when compared to the current LCD displays... that is why graphics professionals that do color sensitive work always use CRTs.... but we're not graphics professionals so it shouldn't be a big deal.....

There is no question that LCDs are real nice and takes a fraction of the space and weight of a CRT monitor.... I've got LCDs at home and would never go back to CRTs, because of all the other stuff like energy, screen flicker, etc....

One BIG thing is to consider is whether you have a digital connection on your PC - most PCs don't but you can add a new graphics card (but that opens another can of worms) - it would be a DVI connector - that would get you best picture on the monitor...

Another thing to look out for are "dead pixels" - because LCDs are based on little color pixels (typical 15" monitor would have 1024x768 resolution = 786,432 pixels and any of them could be stuck at either red, blue or green and i'm assuming the screen resolution of your 19" monitor would be 1280x1024 which would yield 1.3M pixels) and if they are in the middle of the monitor, they're really annoying - most companies deem that less than 10 dead pixels are not enough to return the monitor - back in the old days it was a real problem but nowadays, it is rare to have that big a problem.....

and because LCDs depend on individual pixels to display the image, in contrast to the way CRTs refresh their image, eye fatigue would be much less - along with the usual environmental buzzwords to accompany LCDs....

You also have to consider what resolution you usually run your computer at.... for example if you hate using the maximum resolution on your monitor like if you have a 15" monitor but you run it at 800x600 because of the small icons/text etc., LCDs do not like you to change the resolution from the native resolution because of the pixel item i mentioned above.....

and a couple of other things to consider is the viewing angle of the LCD - some are better than others and if you plan to watch DVDs on your computer, doublecheck on the pixel response rates - slow ones would make DVD artifacts much more noticeably especially in full screen mode....

of course you can always go for those combination HDTV/Computer LCD displays but they usually more expensive and not all of them work for both - but that is for another discussion...

anyways, that's all i have off the top of my head right now, but i would go for it - you won't regret it.