We are just going to the supermarket, but we have a big shop and the basket comes in great use for heavy tins, bottles, bulky items etc. I don't have a car, or drive.
We've done the shop a few times with DD on scooter and just walking but she gets very tired and I end up carrying her with a giant rucksack of heavy shopping. It takes us double the time to get there and come back that way.