He said residents would have to be educated about the importance of using bins instead of bags because they've become accustomed to the latter.
"And old habits are hard to break," he said.
The bags are much easier for city employees to pick up, Taylor said, but the bins are reusable and typically do not have to be purchased every year.
This year, the city paid a total of $77,052 for 1,700 cases holding 350 clear bags each, said Shannon Milroy, Charleston's director of purchasing.
Milroy was unsure how much the bins cost.
St. Albans Public Works Director Orville Browning said it costs his city about $6.75 for a 14-gallon plastic tote used for recycling.
St. Albans has always given the totes to residents, Browning said. The advantage is the city does not have to buy the clear bags every year.
"We have to replace some of the totes because they get busted," he said.
Dunbar and South Charleston both use bags. These three cities stopped taking recyclables to the Slack Street center after the facility closed temporarily about a year ago.
Authority board member Kasey Russell believes eliminating the use of bags for recycling would be worth the effort of re-educating residents about the importance of recycling.
"People can reuse the plastic bins," she said. "You can't reuse the plastic bags."
Russell also serves on Charleston City Council. She is a member of the environment and recycling committee.
During Tuesday's meeting, Hunyadi also announced that he hopes to begin accepting glass at the public drop-off point beside the Slack Street center within the next few weeks.
The authority stopped accepting glass after the facility was closed.
Hunyadi is working out a deal with Waste Management to use the pulverized glass as a base for road repairs into the Charleston landfill, he said. The company also could use the material as a daily covering for trash at the landfill.
When asked about the irony of using pulverized glass as a covering at a landfill when the whole point of recycling was to keep items out of the landfill, Russell said it was "reuse" of the material.