You'll need a Bluetooth dongle if you want it for use with the ps4. Yes, a 3.5 mm mic will work fine, and you're able to mix game and voice a la the Mixamp by using the panel in Windows or iOS.
Not every bluetooth dongle will work, only these specifically sold as "ps4 compatible" will work. There are some cheapos on ebay as well as Creative BT-W2 which is 100% confirmed to work.