This is what you need on eBay
This allows you to connect an HDMI cable and this adaptor at the same time. The adaptor's function is purely for the head set for your application, you may need to get red and white audio cables if you need to extend the length of the adaptor to reach your headset.
Then you connect the headset the same as the PS3, USB port which is convenient on the back of the Xbox.
Just hoping that you kept the small audio lead from the Turtle Beach package, you'll need this to connect from the audio port on the back of the controller with the other end going into the control unit of the head set.
I'm missing the banter alreadybut, each to their own, this is what works for me and is far more enjoyable and besides, i'm away 6 months of the year