Gaming PC Budget Fixing

Build looks nice, but to cut down on budget, I suggest getting a cheaper PSU, and maybe going with a r9 280x instead of the gtx 770.

PSU: http://pcpartpicker.com/part/seasonic-power-supply-ssr650rm << A bit cheaper.

GPU: http://pcpartpicker.com/part/sapphire-video-card-100363l

The r9 280x trades blows with the gtx 770 anyways. Plus it has an extra gb of vRAM which will help it in higher textures or higher resolutions somewhat.

You could also cut the cost on the monitor. If you're not going with a higher resolution monitor or a higher frequency monitor, then just get whatever cheap 1080p 60Hz monitor. (http://pcpartpicker.com/part/samsung-monitor-s23c350h)

You could save on the cooler like you're considering now. If you do, I suggest getting a CM 212 evo at least. It'll hold pretty well even on a nice overclock.

If you're going primarily going to game on it then the 4690K is a very good choice , you won't need an I7 except for the most demanding Video editing ( Which isn't you ). This build beats your build gaming wise , better GPU/Monitor as well . Choice is yours

PCPartPicker part list: http://pcpartpicker.com/p/VbLsVn
Price breakdown by merchant: http://pcpartpicker.com/p/VbLsVn/by_merchant/

CPU: Intel Core i5-4690K 3.5GHz Quad-Core Processor ($229.99 @ Newegg)
CPU Cooler: Noctua NH-D14 65.0 CFM CPU Cooler ($71.74 @ OutletPC)
Motherboard: Asus Z97-A ATX LGA1150 Motherboard ($139.99 @ Newegg)
Memory: Crucial Ballistix Sport 8GB (2 x 4GB) DDR3-1600 Memory ($73.95 @ Newegg)
Storage: Samsung 840 EVO 120GB 2.5" Solid State Drive ($84.99 @ NCIX US)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($55.99 @ NCIX US)
Video Card: Asus Radeon R9 290 4GB DirectCU II Video Card ($369.99 @ Amazon)
Case: Corsair 200R ATX Mid Tower Case ($57.99 @ Micro Center)
Power Supply: XFX ProSeries 750W 80+ Silver Certified Semi-Modular ATX Power Supply ($100.00 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($16.98 @ OutletPC)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($102.98 @ Newegg)
Monitor: Asus VG248QE 144Hz 24.0" Monitor ($269.00 @ Amazon)
Total: $1558.59
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-08-09 21:59 EDT-0400

For the PSU, if you're running multiple cards, I suggest getting a 850w for more headroom. EVGA supernova g2 850w is what I suggest.
(http://pcpartpicker.com/part/evga-power-supply-220g20850xr)

I don't suggest any corsair PSUs because all the one's that are decent units are way overpriced... For the same wattage, you could get one of higher quality for a better price, at least from what I've seen.

Anyways, answering your questions:

GPU

AMD cards are generally better at price for performance. Performance wise, the r9 280x and the gtx 770 are around the same performance level. The gtx 770 will pull ahead in some situations and the r9 280x in others. The benefits of the r9 280x over the gtx 770 is that you'll have an extra GB of vRAM, which is useful for higher texture stuff, anti-aliasing, Anisotropic filters, etc. In games like skyrim or minecraft where you have modding available, it could help with higher texture stuff or run more mods and what not. Just more room for your graphics card to work with. If you plan on recording games or live streaming, AMD has something similar to nVidia's Shadowplay, though I haven't fully set it up and figured out how it works myself. I haven't really given it a lot of time either. You'll also have mantle, which does offer a nice performance boost on some systems (assuming you're playing a mantle supported game).

As for the argument for nVidia, they do generally have better driver support. nVidia cards generally pull ahead slightly in most cases, the games where they lose to the r9 280x in are one's that are more optimized for AMD (at least as far as I'm aware). You'll have a better time playing with PhysX, you won't be suffering as much because it's better optimized for nVidia's gpus. You don't have as much vRAM, but most games (assuming you aren't going to be doing a lot of modding on higher texture games) will run just fine on 2gb of vRAM. I have a 2gb card in my system right now and it runs everything just fine on high-ultra settings. The gtx 770 is pretty much all you need for 1080p gaming if that's you're going for.

I'm surprised that the r9 280x is more expensive than the gtx 770. The 770 that you put in your build up top shows that it's 320$ compared to the r9 280x that I suggested, which is ~290$, not including mail in rebate.

Monitor

IPS vs TN (They're both still LED).

IPS gives you a better image and coloring I believe, but at the cost of the response time. Some IPS monitors will have 6ms+ response time, which isn't really ideal for gaming. The extra ms can cause a pretty big problem if you're looking to play some slightly more competitive games (CS:GO, starcraft, league of legends, etc.). You could still find some with 5ms or lower maybe.

TN monitors are all you really need. Most of the monitors with lower response times or higher frequencies are TN monitors.

GPUboss is not a reliable website to compare GPUs. It is heavily nVidia biased. Look at the r9 290x vs the gtx 770. (http://gpuboss.com/gpus/Radeon-R9-290X-vs-GeForce-GTX-770). The r9 290x is on the same tier as the gtx 780Ti, yet the website suggests its on the same level as the gtx 770.

Intel CPUs have a strong single thread performance, you don't have to worry about the performance of either side's gpu. Performance will rely on the optimizations of the games you'll be playing. In gaming, intel cpus will outperform amd cpus in almost every case.