I know a lot of people are still excited about the Fury revamp, but after playing with it and looking at it objectively, it is basically a one button class. In that it doesn't really matter what button you press next as long as you are pressing a button and prioritize everything over whirlwind.
Effectively roll your face across 12345, due to cooldowns & charges and default rage cost, you rarely lose out by pressing an ability out of order (with the exception of pressing whirlwind too often). There are many keyboards and applications that can do this for you; just 'turn auto attack on'.
The difference between a perfect rotation and not is low enough that you will be doing competitive DPS, likely within the margin of error of RNG and mechanics.
-- With legion haste levels it is very important that you have an ability queued up by smashing the keyboard, if you are waiting for the animations to finish, I guarantee you are losing out on damage.
I worry that this spec will bore you to tears within the next two years with this rotation, it is effectively the new BM (which ironically is more complex than Fury)