They are college dorm style, but a lot nicer. (At least from my ancient dorm when I was in school).
They are individual stalls with a locking door. In front there is a small changing area with a bench and a couple of hooks, then a curtain, then the shower area.
For me personally, I take my shower at night, so walk to the shower fully dressed. (I do go ahead and change into shower shoes and shuck my, belt, wallet, watch, hat, cell phone, etc. and leave those in the camper). I have my toiletries/towel, etc. and sleep clothes in a book bag that I carry with me. My sleep clothes are shorts and a thick t-shirt that I'm very comfortable wearing in public (or sweats if it's cold).
When I get back to the campsite, the towel gets hung up on the awning, and my clothes go in the dirty clothes hamper.
When I was tent camping and needed to use the comfort station first thing in the morning, I would go ahead and load my bookbag with what I was wearing the next day the night before, so on that first run to the comfort station, I could easily grab that bookbag, and then would go over to the shower side and get dressed.