We have something similar in D.C. People have taken to bringing their own "durable" shopping bags to the grocery store. Many places gave away such bags when the "ban" was announced. These days one may see people toting their groceries and whatnot in all sorts of bags and bag contraptions. People pretty much use whatever they have handy that will hold whatever they want to bring home. It's really not that burdensome.
Make sure you wash your bags after EVERY usage. That's the only way you can ensure that you don't catch a possibly fatal disease.
"Bacteria were found in 99% of reusable bags tested, but none in new bags or plastic bags.
• Coliform bacteria were found in 51% of the bags tested, with generic E. coli in 8%.
• Bacteria were capable of growth when stored in the trunks of cars.
• A potential risk of bacterial cross-contamination is associated with use of reusable bags to carry groceries.
• Hand or machine washing reduced the numbers of bacteria in reusable bags by > 99.9%.
• Instructions should be printed on reusable bags, indicating that they should be washed between uses and that foods that are usually consumed raw should be separated from other food products."
https://www.foodlegal.com.au/uploads/Cross contamination of reusable shopping bags_i171.pdf