West Coast baby
Well, it depends. Where I live I have a grocery store like 100m from home, and I go by foot there. One or two bags (the reusable kind that don’t melt away) and you just go, get what you need, go back home. Nothing special. I’ve also seen older people use like a mini trolley thingy with a bag attached in order to bring home the groceries. When you get home it folds and you can just put it behind a door or something.
In Holland I’ve heard they also really like cargo bikes, but where I live there’s not enough bike infrastructure for that. I don’t live in a big city center like Paris or Milan btw, but in a medium density city on the outskirts, so I can also use a car and often do, especially if I need to buy lots of stuff. But if I just need a couple things, going by foot is way easier and faster.