Default [Q] can i root this version of note3?

i have been reading this forum and other sites for weeks now probably a month, it seems real confusing on what phone you can root and what will trip knox. i want to be able to get rid of the att version and just use the stock samsung version of 4.4.2 . also is it possible to switch roms on the fly?
like if i wanted to try hyperdrive, it says its for tmobile, i have a att phone, can i still use it?
or should i go stock samsung?
can i use safestrap on my phone?
right now i just want to be know if i can root my phone and how to do it.

ill attach pic of my phone.
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