Speaking as an autistic person, stimming is really really really really nice and comforting and comes just as naturally to me as breathing does, so when you tell me to stop stimming because it embarrasses you, it hurts me the same way it would burn your lungs if I told you to stop breathing.
Let your autistic kids stim. Let your autistic friends stim. Let people stim. Our overall health and well-being is more important than your small dose of embarrassment