There is another way. After you’ve paid for the items, put them back into the shopping cart. This is very easy at self checkout. Take the cart to your car and unload the items into one or more plastic bins (typically used to store stuff long-term and come with lids). Carry the bins into the kitchen when you arrive home and unload.
I can fit all groceries into one or two large bins. It makes unpacking items really easy once at home. I don’t have 15 bags to carry , reusable or plastic.