The trailer is located at Station One on Preston Highway, near Little Flock Church.
Solid Waste Management directors will be in front of a Metro Council Committee on Tuesday to discuss the options.
Friday afternoon, Gov. Andy Beshear and United States Deputy Secretary of Energy David Turk were in Shelbyville for a major announcement.
Graymoor-Devondale is in the middle of a two year contract with Waste Management.
The plant will eventually melt and recycle copper and copper-alloy scrap.
Metro Public Works said residents can keep the old bins.
Each location will be open from 9 a.m. to 5 p.m., Tuesday-Saturday, through Jan. 29.
The case stemmed from a 2014 policy change by a board that banned plastic bags for grass, leaves and other yard waste throughout Jefferson County.
The project is expected to start in October and be complete by the end of 2022.
Larger carts will replace 18-gallon recycling bins and will usher in the city's change in collection, which takes effect the week of July 12.