Having a blast so far though!
Google icy veins arms warrior and wowhead arms warrior. Both have very in depth guides and better info you’ll find condensed here.
Use the curseforge app to download an addon called Maxdps and maxdps warrior. That will highlight on your skill bar what to cast next and will help you learn your rotation efficiently.
I second the maxdps thing, just found it yesterday. It tells you what to press. Eventually you get it and probably won’t need it anymore since there’s only a handful of skills in the same order.
If it’s not too late, I’d recommend Fury. They do double the damage than Arms. I might change to Fury one day.
Start lifting in RL. Should see a slight dps gain.