KRAKEN KITTY WIRED VS BLUETOOTH ADVICE PLEASE

I'm going to be getting the Razer Kraken Kitty Headset in January but wanted some advice and clarity on something. I was going to get the wired one, but saw it was a USB type, as I also play console I wanted to know if there was a reliable USB to 3.5mm jack converter that works on all consoles with Razer headsets. If there isn't one, should I get the Bluetooth version of the headset and get a Bluetooth adaptor? But again, is there a reliable Bluetooth adaptor that works for all consoles and the Razer headsets? Or if that's impossible I do have another headset option (Yowu Chan) I just prefer the Razer one.