amd vs intel, amd vs nvidia for my gaming requirements

[meap705]

hi, I'm trying to build a gaming pc, this pc should give the best gaming performance (i.e. playing bf4, eso, star citizen, titanfal etc)while streaming live and when editing videos for the best price. i will first start with one monitor with possible options for a secondary monitor.
my have a budget of £950 for a full rig.

so my question is which processor and graphics cards to choose?
AMD or INTEL
AMD or NVIDIA

 

[IRONBATMAN]

Not for overclocking

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i5-4570 3.2GHz Quad-Core Processor (£143.99 @ Aria PC)
Motherboard: Asus B85M-G Micro ATX LGA1150 Motherboard (£54.99 @ Ebuyer)
Memory: G.Skill Ripjaws Series 12GB (3 x 4GB) DDR3-1600 Memory (£97.78 @ Amazon UK)
Storage: Samsung 840 EVO 250GB 2.5" Solid State Disk (£120.99 @ Amazon UK)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive (£43.96 @ CCL Computers)
Video Card: MSI GeForce GTX 770 2GB Video Card (£251.72 @ Scan.co.uk)
Case: Cooler Master Elite 431 Plus (Black) ATX Mid Tower Case (£44.92 @ Scan.co.uk)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply (£48.99 @ Amazon UK)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer (£11.98 @ Ebuyer)
Operating System: Microsoft Windows 7 Home Premium SP1 (OEM) (64-bit) (£70.30 @ CCL Computers)
Total: £889.62
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-12-27 22:23 GMT+0000)

 

[meap705]

apologies for not phrasing it correctly. my £950 budget includes the monitor, mouse, and keyboard.
for the hardware excluding the monitor, mouse, keyboard my budget is round £800. I'm going to invest more on the gpu and less on the cpu.

can you pls give your main suggestion and another option i.e. if main is intel and nividia, suggestion is and and and.

thanks