This looks like a pretty good deal for the keyboard:
http://www.newegg.com/Product/Produc...82E16823126174
Although it's not rechargeable, the batteries should last a long time.
As for the best quality, you may want to consider using a video card and getting a DVI > HDMI cable. You should be able to use a 1920x1080 resolution by default.
For cases, you probably will want to stick to standard ATX so you can get a decent PSU. This looks nice:
http://www.newegg.com/Product/Produc...82E16811163033
You'll also want a silent PSU, something like this:
http://www.newegg.com/Product/Produc...82E16817341012