Out of interest, what is your job? Are you 100% sure your burlesque performaces threaten it? If you are then I'm with the masquerade idea. If not, maybe a quiet word with your boss would be appreciated so he/she knows about it? Even though you love your job I don't think you should have to give up on something you're so passionate about.

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"Simplicity is the keynote of all true elegance" ~ Coco Chanel