I’ve finally learned to live without store supplied/sold bags.
I have purchased several LARGE carry bags with straps. I keep them IN MY CAR.
I cash out, putting everything back in my store supplied for free cart. I push my cart out to my car and put the groceries etc. in MY bags to carry into the house. Hang the bags on the doorknob to put back in the car.
No paying for their bags that rip or strangle turtles. No packing at the checkout.
An aside. At Trader Joe’s, when asked if I want a bag (their paper bags have handles) I say “not if I have to pay for it”. Their response is “I don’t have to charge you”. I take their free bag.
The idea of walking to the car and then bagging works for most of the year for us, but right now there is snow on the ground in northern Illinois so it's better to bag in the store.