Well, I don't think there's a royal road to teaching mathematics.
First ingredient if you want to be a good mathematics teacher: preparation. When you go to class, just make sure you went through all the examples, all the exercises and problems, and you know them in and out. Be prepared.
When they train you how to teach, they never tell you that. It is just assumed. They tell you about the attention curve (which supposedly looks like a bathtub: high at the beginning and at the end, low in the middle), about body position, voice volume, and other stuff. But for some reason they forget to tell you that first and foremost you need to prepare.
Second ingredient: feedback. Ask a colleague to come and observe you, and, if possible, go with the same colleague and observe another teacher whom you want to learn from. They (the colleague) can point at what you did differently from that teacher, what you did well, what you should work on next. If that colleague is good, they will give you a list of 20 things to work on, but also tell you to focus on the first one or two. Are you stopping to look at the kids and see if they understood? Are you making eye contact with a single kid, rather than cycle through all the classroom? Is your voice loud enough (pro tip: it never is, speak louder). Did you leave the kids enough time to think on their own? Did you give them too many hints? Are you biased in always letting only the best kids in class answer out loud? Are you pointing with your finger when you want to emphasize something (it's natural, but don't do it, it intimidates the kids).
But all these things are second order things. First thing: prepare for the math you are going to teach. It's much more important to not make any mistakes, such as a sign mistake in the middle of a calculation, than to make eye contact. Mistakes erode the kids' trust in you. Avoid them. Prepare.
Once you got to a point where you consistently deliver a flawless lecture, then you can think of becoming the next 3Blue1Brown. But you need to walk before you run.