phoenix seems to have said most of what I would say.
LCD's aren't the best thing for video editing, because they don't have good color like the better CRT's. I would definitely say get a nice expensive CRT, then get a secondary LCD if you want more space.
One thing nobody mentioned is that 1280x1024 LCD's like the ones you mentioned (which is true for most 17" and 19" LCD's) have a weird native resolution, which gives a screwy aspect ratio for video editing. All your standard resolutions are 1.33:1:
But for some reason they make a lot of LCD's in 1280x1024 (1.25:1). This means that when you're editing video, you either get the wrong aspect or else your picture has to be resized anamorphicaly, both of which aren't ideal.
Another problem with LCD's is that the larger ones have many more pixels and therefore much higher rates of dead pixels. I have four 15" LCD's that are all two years old, and there is one dead pixel and one off-color pixel among the lot of them. I have a friend, on the other hand, who has a 22" Apple Cinema Display that has three bright dead pixels right in the center, which will drive you insane, and more dead pixels in other spots.
I've got a 22" CRT as my primary display then a 15" rotated LCD on either side. I like the LCD's for reading things and for photoshop tools, but CRT's are just better for most of your main apps.
The simple fact is that you can get a really good 22" CRT that does up to 2048x1536 for $750 (although you'll probably just use 1600x1200). Not only is an LCD that size twice as much, but it just doesn't look as good.