I have BF4 for the xbox 360, and was thinking about getting it/trading it in for the xbox1 version. Does the premium membership transfer between the consoles, and will my stats reset?
According to the battlefield.com upgrade offer, Premium membership is transferable and you can transfer your stats as well:
When I upgrade platforms, will my stats transfer with me?
Yes! You will be able to bring your multiplayer progress with you – your rank, score, K/D ratio, wins, time played, service stars, dog tags taken, vehicles destroyed, repairs, revives, squad score, accuracy, and more will transfer from Xbox 360 to Xbox One and PlayStation 3 to PlayStation 4.
Does my Battlefield 4 Premium membership carry over?
Battlefield 4 Premium membership from Xbox 360 to Xbox One has been extended and is valid until further notice. The membership transfer from PlayStation 3 to PlayStation 4 owners also remains valid until further notice.
The stats transfer appears to be a one-time transfer, though: