Morningstar Mini-Storage wants to put a short-term storage facility near Alabama Avenue and the Windwood neighborhood.
The proposed floor area, which developer Morningstar has been working on for two years, is 163,363 square feet.
The developer owns a tract of 8.91 acres in all.
Residents fear the facility will be unsightly and invite crime and noise, driving their property values down.
At the meeting, Alderman Alex Zaffron suggested the developer remove one of the one-story buildings to create a larger buffer zone.
Chris Murphy, the development review administrator for the aldermen, explained that the buffer zone is a 30-foot area between Alabama Avenue and the proposed mini-storage site.
He said the new facility would comply with all regulations set up by Orange County and various other groups, such as Orange Water and Sewer Authority.
"The lighting is compliant," Murphy said. "It does comply with all parts of the land-use ordinance, but we would recommend more trees in the buffer zone."
Morningstar officials plan for the storage facility to contain one three-story building with heating and cooling capacities and a number of one-story storage facilities with typical garage-style doors.