FX-6350 CPU is a good choice, félicitation!
Well maybe i've mistaken your PSU (always I think OEM PSUs are weak). I looked into information and your PSU has power output on 12V rail, though on mutli rails. If u'r sure that your PSU has two 6-pin PCI-E conductor, u could easily go for HD 7870, it's good.
But also make sure u've at least 10" on your PCI-E X16 slot (From the wall of the rig to the cage of HDD or stuffs which limits).