honestly, id look at the recent system builder marathon for a good suggestion of pieces.
You prob. don't need a really expensive video card, nearly anything that can play HD video will do. I recently used the GeForce GTS 450 in a low-end build and was happy w/ it.
As for your monitor resolution, id go w/ 1920x1200. Its a little wider than 1080p, and seems to work for me.
You don't even need a discreet video card. The Intel® Graphics Technology built into the cpu is more than suffice for your usage. Even HD full screen playback. You hook up the monitor to the mobo's built-in video output.
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COOLER MASTER Hyper 212 Plus RR-B10-212P-G1 "Heatpipe Direct Contact" Long Life Sleeve 120mm CPU Cooler Compatible Intel Core i5 & Intel Core i7
COOLER MASTER Hyper 212 Plus RR-B10-212P-G1 "Heatpipe Direct Contact" Long Life Sleeve 120mm CPU Cooler Compatible Intel ...
Item #: N82E16835103065
Return Policy: Standard Return Policy
The case price is steep, but it has sound-proofing material on both sides. Also, the 3rd-party cpu cooler is quieter than the stock Intel one. You can even swap out the bundled cpu fan with this for more quietness.