On private property the answer is no permit, but there are conditions. A container in a driveway or on a private lot has to carry the property's address visibly, keep its lid closed except when being filled or emptied, and sit where the zoning screening rules allow.
A container in the street is different, and Hamtramck is clear about who is responsible. The city makes it unlawful for a provider to place or maintain a bulk refuse container in any public right-of-way without a permit from the city, and the application is made by the provider rather than by you. We give the city our company details, the address the container will sit beside, the intended use, and how long we expect to occupy the space.
The placement rules are strict and worth knowing before you choose a spot. A container cannot go within 40 feet of a bus stop, 20 feet of a crosswalk, 15 feet of a fire hydrant, 10 feet of an intersection or an accessible parking space, or 30 feet of a stop sign or signal, and it cannot go in an alley at all.
There is also a working-hours rule. Within 1,000 feet of residential property, a container may not be delivered or emptied between 8:00 pm and 7:00 am. Across a city this size, treat that as the whole city.
City Hall is at 3401 Evaline Street and the number is 313-800-5233. Offices open at 8:00 am Monday, Wednesday, Thursday and Friday, and at 10:00 am on Tuesday. Your account manager will confirm with the city whether your spot needs the right-of-way permit and will file it if it does.