Streaming audio through bluetooth/WI-FI?

For me the best thing that the PS4 has is that you can plug headphones directly to the controller. This is a ridiculously useful functionality and I want to find a way to replicate that with my PC. Currently I am using my phone as a receiver through an app called Wifi Audio but the sound quality is rather poor. Does anyone have another solution for this? Can you recommend any alternatives such as other android apps, or any bluetooth audio receivers with rechargeable batteries?

@stete: can't you just get a Bluetooth adapter and a Bluetooth headset and have this work with out the app? Of coerce you would be streaming through your PC.

@agentboolen: Yes, but since I already have some decent headphones I would prefer to get a bluetooth receiver.