You'll get a good experience at all the mentioned hospitals, although Detroit Receiving may not get all the different kinds of patients that go to the other two. This is because Receiving is in the middle of the Detroit Medical Center campus, where Children's Hospital of Michigan, Harper, and Hutzel hospitals are also located, and certain patients (kids, pregnant women, and specific other conditions) are automatically turfed to those hospitals rather than to Receiving, where the worst trauma goes. I don't know if a rotating student would stay at Receiving for the entire month, or whether he/she would rotate through the other places.
I'd contact the program office and ask about the experience you'll be getting before committing to the clerkship.