I'll take a stab at this....I don't do burlesque, but I do other things that don't always combine well with motherhood. In all of our lives, there are times and places we must deal with, or want to deal with, that are simply not appropriate for young children. We each have to decide for our families where to draw the lines, with or without the influence of well-meaning others.
How young are your children? How likely are they to understand exactly what you're doing, both your intentions and the context in which your actions are taken? How will they describe it to others? Perhaps that will help form your parameters/compartmentalize what you share with your kid/s.

have you checked out the sex workers art show group? they have burlesque workers, a union, a really creative touring troupe that comes to sf and i'm sure other cities.

i think they would have some parents in the group who might give advice.

hugs and good luck,
kinnari