First of all, I hope you know that everyone gets nervous every once in a while (even the pros) so don't feel like you're the only one with this problem. Don't get me wrong though, it will get better once you get more experienced and used to performing. So I'll tell you what helps me when I get nervous.
So the source of all performance anxiety is fear. Fear of what you ask? The fear of rejection. We're afraid that they won't like us, or they won't be interested or maybe we'll mess up or maybe even it's just that we think that they won't even give us the time of day when we approach them and offer to perform for them. We get this "worst-case scenario" style of thinking and it holds us back in our performances and approaches.
So the thing that helps me is that I visualize the entire performance. I play it all out in my head and in my imagination everything turns out the way I feel like it should (which is perfectly). Then I ask myself these questions:
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Am I confident enough in my sleights?
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Am I confident enough in my patter?
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Am I confident in my approach?
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Am I confident in my abilities in my overall performance?
If I answer yes to all of these questions, I ask one last question: "What do I have to worry about?". If you're confident in yourself and your abilities in everything that goes into making your performance great, why should you worry? They're gonna love it.
Of course, things don't always go perfectly. (People say no, you mess up sleights, etc.) But hopefully, this helped you out with your performance anxiety. Remember, the only way to get better at performing is if you perform. So start out showing your family members and close friends. Ask them what they think of your performance, (what could be better, what you did well, etc.). Then start showing people at school (if you're still in school
) And lastly, have fun. It may sound cliche' but when people see that you're having fun, they will start to have fun.
Good luck!