Neither one of these CPU's will be a bottleneck, and you can forget about the 9370 as it's barely any faster than a FX-8350.
In my opinion, 8 cores will serve you better overtime, and the FX-8350 is a little cheaper and overclocks quite well if that's your thing. This CPU has some great performance in newer games like BF4, Crysis 3 and so on.
AND it's a great multitasker. Your CPU will never be forced to work at 100%.