A good dry cleaner, particularly one in an area with active pipers might well have experience with taking care of kilts. Having an actual conversation with someone who does real work beyond the counter/register jockey is the key to deciding if they can be trusted with your garment.

It's like making any other informed decision: Ask questions. Keep the emotion out of your discussion and your decision. Don't be afraid to be up front about your needs and expectations. Be willing to walk away.

I found a good dry cleaner near my house who had experience caring for kilts. I also found 2 that didn't really seem to understand how it was put together. I've had similar results looking for mechanics, plumbers, hvac techs and cooks. The same strategy applies.