I have been really worried about how I would be able to shop with newborn twins and a 2-year-old. I figured I would put one baby in a sling, one in the carseat in the basket of the cart and the toddler in the seat of the cart. But where would I put the groceries? I hadn't thought about pulling a second cart behind me. I guess I am already going to look like I escaped from the zoo, so I may as well pull a second cart around to add to the sight.
For my first 8 months of so, I did a lot of shopping online from a store that would deliver. There might also be a service in your town that would shop for you as a service (free or otherwise).