Best AM3+ socket CPU for my build?

[advancedmixedgaming]

GPU: MSI GTX 970 100ME Edition
Mobo: MSI 970 GAMING
RAM: 2x 8gb Corsair DDR3 1333
PSU: Corsair RM650 Gold 80+
*CURRENT* CPU: AMD FX6300 Black Edition @3.5ghz, planning on OCing unless I upgrade
CPU Cooler: Cryorig H7


####EDIT#####
I play CS:GO, Battlefield, GTA V, ARMA 2-3, all games intensive on different parts. What AMD CPU would benefit me the most?

 

[Gingerbread]

Either FX-8370 or FX-8350.

 

[advancedmixedgaming]

Either FX-8370 or FX-8350.

Thanks! Another quick question if you don't mind, is this mobo good for OCing?

 

[Gingerbread]

Yeah it is pretty decent. It will do the job for an overclock, not the best though but still should be able to hit 4.6 easily.