Hi Jeff,
I hope its not too late to clarify this issue. I've been away from this website for a while and was just revising my most recent threads.
The pixel resolutions in your monitor of 1920x1200 are obviously greater than the 1920x1080. 1920 is the length, 1200 is the height by pixels. The 1080p HD you keep hearing about does not mean pixel but progressive lines, hence why the 1080i is interlaced resolutions which are not as good. Don't worry, I won't fill your head with useless knowledge, I will simply tell you that progressive is a far better video playback mode than interlaced, thus 1080p is greater than 1080i. Also, 1080pixels can handle 1080p. Your monitor is HD ready, hopefully your video card is as well. If you use the DVI wire, the signal will be digital, or else you use VGA for analog signals. VGA can handle higher resolutions than 1080p HD, but I never personally tried it and DVI is pretty much the same as HDMI so I would recommend DVI. If you're uncertain about all this, you can look up for some softwares that will test your PC and let you know if it is completely ready for Blu Ray playback. I know Cyberlink (makers of the Power DVD 9 Ultra software, probably the best blu ray player out there) has a free software to test your machine for compatibility. Try it:
http://www.cyberlink.com/prog/bd-support/diagnosis.do