Default at&t note 3 frimware

I have at&t note 3. Running leaked 4.4.2
wanted to know if I can run firmware fromT Mobile Or just sm-n900
I love my not3 don't get me wrong but AT&T has so much crap on it but where I want to root the phone and get the best out of it and I'm always looking to use the phone to tether I've been told several times T Mobile note3 frimware was better than At&t note3. and still wanting to try out the T Mobile service on my note3 anyways.