SteelSeries Arctis 3 Bluetooth - Wired Gaming Headset + Bluetooth - For Nintendo Switch, PC, PlayStation 4, Xbox One, VR, Android, and iOS - Black
https://www.amazon.ca/dp/B07GTVK5W3/..._LQm9DbG0HQWXY
Something like this features wise? It seems like it has Bluetooth which is good, but it seems like if using with PS4 you have to wire to controller, so it’s not true wireless for both.
But I seemed to run into a ton of stuff online that essentially says hooking up a Bluetooth dongle to your PS4 will allow you to use any Bluetooth capable headset/headphones with the PS4. If that’s true, then things get way easier for you. Something life this:
Mpow H7 Bluetooth Headphones Over-Ear, 18h Playtime, CVC 6.0 with Hi-Fi Stereo and Mic, Wireless and Wired Mode for Cellphone/Tablet-Black
https://www.amazon.ca/dp/B07BLP69P1/..._VZm9DbMMADXHB
Plus a Bluetooth dongle’s that works with the PS4 is what you’d be looking for.
Something like... this as a work around?
https://youtu.be/RQDj9GtXs1o