The potatoes absorb the rich, smoky flavor of the ham hocks in this one-pot soup. Serve with crusty bread, a salad, and hot sauce on the side for an easy meal both kids and adults will love.
Place potatoes, ham hocks, onion, celery, garlic, thyme, salt, and pepper in a 7-quart slow cooker; add broth, and stir to combine. Cover and cook on HIGH until potatoes are tender, 4 hours. Remove ham hocks, and place on a plate to cool 15 minutes.
Puree soup in slow cooker with an immersion blender until it's creamy but whole pieces of potato are still visible. Add cream, and stir. Once ham hocks are cool enough to handle, remove all meat and chop; discard fat and bone. Add meat to soup, and stir to combine.
Ladle soup in bowls; top with chopped chives and a dash of hot sauce.