DIY Lint Removal

My Navy-issue pea coat has seen better days. Like everything wool in our home it is covered in pet hair, made even worse by a one-year stint in a friend’s trunk after he “borrowed” it. While going through my coats in preparation for spring storage, I realized I hadn’t worn it all winter, because it is nasty. The standard packing tape loops are just barely working. Does anyone have a better lint and hair removal trick that doesn’t involve buying a gadget or spending loads of money?