Have you tried grocery shopping with a collapsible box?
Did you know that you can totally give up plastic bags for shopping by carrying one or more collapsible box? These can also be made of fabric. They fold up snugly when empty so you can carry them in your supermarket trolly.
When you are ready to pay for your shopping, just unfold the box and put your shopping in it. The boxes can then be unloaded into your car and carried into the house. Unload them and fold them up again for neat home storage.
Jute and cotton bags are also very good for shopping. They are pretty, durable and last for ever. They can hold five or six times as much shopping as disposable bags. They also keep your hands comfortable even when they are crammed with goods.