One of the most common plastic products for carrying goods is mostly used only once by majority of people. Maybe some will use it twice – to throw away trash in it or to wrap something else.
Many places now adopt systems where you need to pay for your plastic bag to incentivize more sustainable living. Other places give small discounts for bringing your own tote bag (Singapore), and some announce a total ban on single-use plastic on the political level (Canada). Get yourself a reusable grocery bag and make it a point to carry it every time with you.