Help with Gaming Pc!

Hey guys, basically im in search for a Computer to only play League in a high setting with a high FPS. Not expecting to play on ultra high or anything. Just be able to touch 30-60 FPS and be able to enter teamfights with no lag or stuttering. I need you guys' help to determine which pc build is best for league. Here are the custom pc's that are in the lineup:

1. Intel, 8GB ram, 700W power, DVD drive, audio, USB, ethernet 1000BT, extra fans, Dell Precision 690 computer with Nvidia 260 GTX, 8 cores, 2 X5355 Xeon CPUs, 500GB hdd, Win 7 Pro
   
   
2. .Intel Core i5-660 Processor 3.33-GHz
   .4GB DDR3 RAM
   .250GB Hard Disk Drive
   .DVD-ROM Drive
   .NVIDIA geforce 210 512mb with HDMI output
   .Windows 10 Home 64-Bit
   
   
3. CPU: Intel core 2 quad Q6600
   MOBO: MSI MS-7529
   GPU: Radeon HD 6770
   RAM: Hyperx 2gb ddr2
   Power: Ultra 550w
   CPU Cooler: Ultra Chilltec black
   500gb hdd
   NZXT gamma case
   

Which would be best and why?
*if posted in wrong section pls move

 

They're all pretty shit. How much are you getting them for? Anyway out of that selection the first one is the clear winner. I'd replace that video card with a mid tier modern card though but that's just me.

 

Yes i know they are shit but thats all i can afford right now. I dont need anything to play like Battle field in ultra high settings. Just league. And i think i could invest in a higher graphics card. Would the CPU be able to handle a higher graphics card and not bottle neck it? I dont even know what cpu the first one is tbh.

 

What is your full budget? I'll build you a PC. Do you already have a mouse/keyboard/monitor, or will the budget need to cover those too? let me know.

 

Welll i can push $300-350 but id prefer cheaper than that to be honest. I have a keyboard, mouse and monitor. Thank you for taking your time and helping me. I just want to play lol with a higher fps on medium-high

 

CPU: AMD FX-6300
GPU: GeForce GTX 950
Motherboard: Gigabyte GA-78LMT-USB3 AM3+
RAM: CORSAIR Vengeance 8GB 240-Pin DDR3 1600 MHz
PSU: Corsair CX600 V2 600W Power Supply
Case: Thermaltake VN40006W2N Commander MS-I Snow Edition Tower Case

Just buy them part by part, look for deals. The total build is around $400, unless you find deals. Best of luck in your search