You can't link things due to your amount of posts, so all it says is i3 6100. If you get a tray/OEM processor you will need to buy a cooler with it. What I linked comes with a cooler. There are other places that sell the same item, just make sure what you get has the cooler too or else you're adding cost for nothing.
As a note, take a look at how the i3 still stays ahead of the 8320 even when the 8320 is overclocked to 4.6Ghz. It's a great little chip. Of course, if you really can't afford it or can't justify it enough the 8320 is still good enough to game like you want with the RX 480. I'm just trying to get you in a position to where when you need more power you have the ability to upgrade easily instead of being stuck.