The only advice that we can give you is, don't. Yes, you might have the skills that you need to succeed, but what will happen if someone actually believes you and you end up taking on some project that is huge, pays well, but you simply cannot handle it. It's cruel to say but it is the truth. If you cannot handle the project then most likely the people who are working for you can't handle the project either. In the worst-case scenario, they all listen to you and devote all of their resources to your project. If you find that this occurs then one of two things is going to happen. One thing could be that you actually succeed, though that's not incredibly likely. The other could be that you fail and the studio goes down with you. Not something that you want to happen; so it's likely that you would want to take a different approach to getting your name out there.
Decent design jobs are hard to come by! So how on earth do you go about getting your name out there? The best way is to let other people do it. Never show off your work and never tell people what you can do. If people see you doing something, they'll tell others, which in turn will get you the reputation that you're looking for and you will get jobs graphic in no time. Sure people aren't going to know every single thing that you can do, but this is good because you need to hold a few things back. As long as no one knows what your full capabilities are, you won't be overburdened, therefore there won't be any problems, and you most especially won't need to worry about taking any game design studios down with you.
This same logic applies if you are teaching. Teaching a gaming class that involves jobs graphic, sounds fun to students and you need to make sure that isn't the message you're sending to potential students who want to find designer jobs. Of course, when you start out, you may find that you don't have quite as many students as you want, but if you do a good job, those students will talk about you, and if they make you sound great then you'll have a room full of students before you know it. The best part about this is that they're not students who you dragged into your classroom. These are students who found your class of their own accord and they'll be wanting to learn from YOU. This is a great feeling and every teacher should have the privilege of experiencing it. Remember though, that this is something that is earned over time and by no means will be easy.
Keeping quiet is always a good thing. Remember that if you have to tell people you are good, you probably are not; and you likely will not land any good designer jobs. Though this may be a difficult concept for some to follow, but if you can get the hang of it, you're sure to have a long and exciting career.