Need advice on my First PC build

It looks good, but if you have a set budget we can give you better advice and some alternative builds.

Here is an AMD based alternative:
PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($134.99 @ SuperBiiz)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($31.99 @ Newegg)
Motherboard: Gigabyte GA-970A-UD3P ATX AM3+ Motherboard ($79.89 @ OutletPC)
Memory: Team Zeus Yellow 8GB (2 x 4GB) DDR3-1600 Memory ($49.99 @ Newegg)
Storage: Hitachi Deskstar 1TB 3.5" 7200RPM Internal Hard Drive ($44.00 @ Amazon)
Video Card: Sapphire Radeon R9 280X 3GB Video Card ($209.99 @ Newegg)
Case: Apex SK-393-C ATX Mid Tower Case ($24.99 @ NCIX US)
Power Supply: SeaSonic 600W 80+ Bronze Certified ATX Power Supply ($56.98 @ Newegg)
Total: $632.82
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-05-28 15:12 EDT-0400

Depending on the game, the intel CPU can give you better performance on more CPU-intensive games. On games that are more GPU-dependant, the 280x might give better performance. For video-editing and rendering usually the AMD 8-core will be faster than the intel because of the amount of cores.

I completely overlooked where you said this was going to be a streaming computer, in that case a FX-8320 would be best in your budget range. If you can bump it up a bit i'd suggest getting an intel Xeon CPU. Something like this:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Xeon E3-1230 V3 3.3GHz Quad-Core Processor ($240.99 @ SuperBiiz)
Motherboard: ASRock H97 Anniversary ATX LGA1150 Motherboard ($69.99 @ SuperBiiz)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($49.99 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($48.75 @ OutletPC)
Video Card: Sapphire Radeon R9 280 3GB Dual-X Video Card ($149.20 @ Newegg)
Case: Thermaltake Versa H21 ATX Mid Tower Case ($32.99 @ SuperBiiz)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.99 @ NCIX US)
Total: $641.90
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-05-28 15:24 EDT-0400

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\outl0\strokewidth0 \strokec2 [PCPartPicker part list](http://pcpartpicker.com/p/KWdFnQ) / [Price breakdown by merchant](http://pcpartpicker.com/p/KWdFnQ/by_merchant/)\
\
Type|Item|Price\
:----|:----|:----\
**CPU** | [Intel Core i5-4460 3.2GHz Quad-Core Processor](http://pcpartpicker.com/part/intel-cpu-bx80646i54460) | $176.98 @ NCIX US \
**Motherboard** | [Gigabyte GA-B85M-D3H Micro ATX LGA1150 Motherboard](http://pcpartpicker.com/part/gigabyte-motherboard-gab85md3h) | $72.98 @ Newegg \
**Memory** | [Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory](http://pcpartpicker.com/part/corsair-memory-cml8gx3m2a1600c9) | $48.99 @ Newegg \
**Storage** | [Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive](http://pcpartpicker.com/part/seagate-internal-hard-drive-st1000dm003) | $49.99 @ Newegg \
**Video Card** | [HIS Radeon R9 270 2GB IceQ X\'b2 Video Card](http://pcpartpicker.com/part/his-video-card-h270qm2g2m) | $144.99 @ Amazon \
**Case** | [Enermax ECA3290A-G ATX Mid Tower Case](http://pcpartpicker.com/part/enermax-case-eca3290ag) | $45.00 @ Newegg \
**Power Supply** | [EVGA SuperNOVA NEX 750W 80+ Bronze Certified Semi-Modular ATX Power Supply](http://pcpartpicker.com/part/evga-power-supply-110b10750vr) | $74.99 @ Amazon \
**Wireless Network Adapter** | [Rosewill RNX-N250PCe 802.11b/g/n PCI-Express x1 Wi-Fi Adapter](http://pcpartpicker.com/part/rosewill-wireless-network-card-rnxn250pce) | $18.99 @ Newegg \
**Fan Controller** | [Thermaltake AC-001-BN1NAN-A1 Fan Controller](http://pcpartpicker.com/part/thermaltake-fan-controller-ac001bn1nana1) | $19.71 @ Mwave \
| *Prices include shipping, taxes, rebates, and discounts* |\
| **Total** | **$652.62**\
| Generated by [PCPartPicker](http://pcpartpicker.com) 2015-06-15 09:28 EDT-0400 |}

Personally I added the fan controller, wireless adapter, and the larger case because I have personally used all these items in previous builds, and will make it a bit easier when your making you PC. The wireless will help with streaming