I have an AT&T SGS4 running 4.4.2. and it is rooted (verified w/root checker basic). I'm using 360 Clean Droid Advanced Cleanup > Bloatware Uninstaller to remove much of the stock bloatware such as Chat On, AT&T Mobile Locate, Family Map...etc.
I am hearing there is a difference between the bootloader being unlocked and the phone being rooted. I have read lately that the N3 root is now available. I am waiting for a backordered N3 developers edition but wonder if it is much different now that root is here for the standard N3. I am a Verizon Unlimited Data customer so I have to pay full price for either one.