If you remember to bring reusable grocery bags to the store, why fill them up with plastic produce bags when you can bring your own fabric bags or keep your produce unbagged. Just keep them together with your reusable grocery bags by the front door or in your car to keep them handy.
If your preference is to bag your produce, try shopping for reusable produce bags from hemp and organic cotton from local shops like Fulfilled Goods (612 Washington Street, Newtonville), a Newton store specializing in zero waste. The store hours are Wednesday–Friday from 12-6; Saturday and Sunday from 12-5; Closed on Mondays and Tuesdays. You can also find them online at Lochtree. (Owner Henry Palmer is on the board of Green Newton).