So… one I have this beast up and running, what game(s) should I be looking at for full effect?
Also, any thoughts on HD monitors? I’m looking at possible getting one new screen.
You should look at getting a Freesync screen so that you can make use of the Variable Refresh Rate ability of your GPU.
Yeah, like Quartz said, find a Freesync monitor. Fortunately, they’re not much of a price premium unlike Gsync for Nvidia cards. What it does is adjust the screen refresh rate to match how many frames your GPU is pushing out so you get a smooth image even if the framerate suddenly drops.
I’d go for a 1080p screen or 1440p at most. Your card won’t be able to effectively run stuff at 4k and even 1440 will require making choices between lowering graphics quality options or playing at low frame rates. If you want to run things at Ultra, stick with 1080p. If you’re okay with running at medium-high and perhaps a lower framerate, you can go with 1440p.
Note that, according to the Steam Hardware Survey, less than 7% of Steam susers are running at over 1080p fpr their primary display so don’t feel like you’re taking the low road by not jumping to a 1440 or 4k screen.
For compuer case, i can recomend getting a case from “Fractal Design”, this is my 3rd one now, very high quality to a OK price. Very silent etc.
As some1 else pointed out, you need a GPU if you gonna game 
i would go for some mid-tier nvidia card, for like 200 dollars.