DT 770 studio + Focusrite Scarlett Solo (Or a more dedicated DAC/amp) + shitty clip on mic = PC
DT 770 Studio + Optical audio set up + DAC/AMP to Optical receiver to headphones + shitty clip on/bluetooth mic = Console
Audio chipsets on motherboards in the "Money is no object," range are solid; consoles doesn't really matter what you toss on it, it's shit audio chipsets. Bluetooth is bad for audio and just a convenience thing. It doesn't let the third party control the audio completely, but should let you manipulate your audio signals THROUGH it, for the right price
PC you can install all sorts of third party audio drivers for balancing audio and ranges, consoles you can't which is why you grab the 3rd component (Receiver) to balance and mix your audio there.
tldr;
If you don't care that much, just buy some mid range headset; if you're not like "OMG PLANAR DRIVERS VERSUS ELECTROSTATIC DRIVERS!!!!" you don't actually care as much as you think and you should just buy whatever you think is good on display on like Best Buy or whatever.
EDIT: Also any music store that sells audio equipment is a DECENT place to ask about head phones, depending on the people who work there. If they have a lot of people who do audio work, they'll guide you in the right direction and have displays as well so you can try it out. Only issue is that the audio on those displays is balanced and mixed at a baseline, and typically not per set of cans
