A "local bakery" refers to a small, independently-owned shop in your community where baked goods like bread, cookies, and cakes are made and sold. Full definition
From the elaborate local bakery cake, to the homemade from scratch cake and even the store bought cake mix. (apartmentbaby.com)
A lot of times I get sugar cookies at my favourite local bakery and then run to a cafe and get some sandwiches and a few different flavours of soup. (styleathome.com)
To assuage him, say three people involved, Penney began ordering fresh - baked cookies delivered from local bakery Tiff's Treats. (fortune.com)