On private property, like your driveway or a job site lot, you generally don't need a City permit for a dumpster. If any part of the container would sit on a City street, curb, sidewalk or right-of-way, check with the City first.
The City of Bowling Green requires a written right-of-way work permit for any work in a City right-of-way, street, curb, gutter or sidewalk, and for work that closes a lane. The Planning and Design Division of the Public Works Department reviews these permits. According to the City's right-of-way permit page, the fee is $75 per approved application.
Apply at least 24 hours before work starts, and plan on traffic control that meets federal sign standards if a lane is affected. Each permit covers a single project.
Public Works is at 1011 College St. Call 270-393-3628 to ask whether a container in the street needs this permit. Your account manager can help you find the right City contact for your address.
Before you book, confirm with the city that a container can be placed for your job at your address. Rules differ from city to city and they change. Your Prime Dumpster account manager will help you check, and will tell you plainly what your options are here.