Vulgano Brother, glad you asked, as I'm currently flapping in the wind a bit on that topic.
This reply is way longer than I intended, but I would appreciate comments and input on any and all of it.
First of all, I'm not doing any studies at the moment, as I've been in a funk over a sore lip the last week or two.
Sat down with my teacher yesterday and discovered that I was:
A. Blowing too hard, and
B. Not getting my bottom lip involved in the embouchure, so my upper lip was doing all the heavy lifting.
So I'm kind of re-addressing all that, and this morning I had my first practice in over a week that I felt was really productive and didn't leave me with tired chops and a sore lip.
High Register was something I was preparing to address again starting next week. I haven't put a plan to it yet.
I've been looking around online, and have found advice on pedal tones, working the lower register, triads, and flexibility studies, but I don't have a plan of where to start or how often to practice.
I've got Arban's but it's a bit confusing to me.
Right now I'm scheduled to sit down with my teacher next Thursday, and I was going to broach the subject to him, but I'd appreciate any guidance you can provide on the topic.
I've been theorizing a bit on it in my own mind, and I have a question. I go to the gym 3-4 times a week, but I never repeat a workout in any given 2 week period, as it becomes counter-productive. Things like warm-ups and cardio are the only thing I repeat.
Is there a significant parallel to be found there in working on your chops?