Upgrading from a GTX 750ti to a GTX 1050ti and I'm wondering if my PSU will be good enough?

Though not the best PSU out there, your current one will be "good enough". The GTX 1050 Ti only has a 75W TDP (if the GTX 1050 Ti you will buy does not need a 6-pin PCIE connector), or a 150W TDP (if the GPU has a 6-pin). Your FX-6300 can reach up to 95W. So, theoretically, you'd be looking at max. power draw around ~170W to ~245W. It'll never go above ~300W.

Your current PSU offers ~348W at the +12V rail. Good enough for a bit of headroom.

I'd be more concerned about the probability of that FX-6300 hindering the max. performance of the GTX 1050 Ti as it *might* bottleneck the GPU depending on which games you play (especially CPU-intensive games).