I wonder if the dealer needed the chairs that were in there, and gave you bigger ones in exchange?
We have bought, what was listed as "table storage bags" from Amazon for the puppies exercise pen that folds up. They're pretty heavy duty, zipper shut, have handles and may work for your chairs. Check the measurements you need, and take a look at these.
https://www.amazon.com/REDCAMP-Porta.../dp/B0B96Y17RZ
Some other things usually get wrapped up in bubble wrap from Lowes or Home Depot.