For the PSU go for reliable brands
Seasonic/Corsair/SilverStone/Antec/Super Flower/XFX/EVGA/FSP
That's pretty much all of the reliable brands out in the market, Seasonic provide quality over the board both cheap and expansive PSU is great, Corsair (CX/TX/AX/HX/RM) series, Silver Stone(Strider series gold/titanium, SFX series), Antec (EA/ Edge 1,2/TP) series, for XFX and EVGA stick with more expansive models, since they rebrand their PSU from Seasonic, FSP and other company, Super Flower go for (Leadex Silver/Gold/Titanium) series
Silverstone
https://pcpartpicker.com/product/HHx9TW/silverstone-power-supply-st70fpb
Seasonic
https://pcpartpicker.com/product/zTdqqs/seasonic-power-supply-ss750am2
FSP
https://pcpartpicker.com/product/qxcMnQ/fsp-group-power-supply-hg750
EVGA (EVGA units are rebranded super flower)
https://pcpartpicker.com/product/zWcMnQ/evga-g2l-750w-80-gold-certified-fully-modular-atx-power-supply-220-gl-0750-x1
Corsair
https://pcpartpicker.com/product/f4W9TW/corsair-power-supply-cmpsu750ax (rebranded Seasonic)
Antec
https://pcpartpicker.com/product/sdCrxr/antec-power-supply-edge750
Super Flower
https://pcpartpicker.com/product/fVtCmG/super-flower-power-supply-sf750f14mg
These are basically top quality PSUs, expansive? not sure about you, but PSU is the most important part of the rig, takes care of your whole rig, reliadble PSU is a must, especially your rig pulling high power, you need a very reliable PSU to keep it safe, stable and your rig will run for many years, and PLUS you can use the same PSU for your new rig if you decide to sell your current rig and upgrade in the future, 700-750W is more than enough to power ANY current gen rig since newer architectures doesn't pull a lot of power like old gen.
I don't really have any knowledge on customer's service and warranty on each brand though.
Good Luck!
Edit: Also be careful about your CPU temp, your CPU does runs hot and your current cooler doesn't look like it will cool your 3960X enough, you should change, unless you check your temps and the temps are OK