Even in spite of best efforts for good systems to remember mine, I still forget them often. The problem in the US is that the system is not complete. The bags need to be made of biodegradable and/or recyclable materials, and every store needs a convenient way to turn in old bags so they can go into a recycling system. There probably shouldn’t be a charge for them either.
It’s not really individual approaches that my comment is about. I was a cashier in a state where they had banned single use bags, and that seemed to make things worse. Instead of thin single-use plastic bags getting everywhere, there are now nearly as many thicker multi-use usually plastic bags being treated like single-use ones and also getting everywhere. My point was that it’s a system that needs more circularity.