The American labradoodle, a cross between a Labrador retriever and a poodle, is a popular low-allergen dog. It is a different from the Australian labradoodle, which is being bred with the goal of creating a purebred Australian labradoodle. Some experts urge a dog diet high in omega-3 fatty acids to help cut down on allergens. This keeps a pet’s skin hydrated, decreasing dander flaking. You can also replace carpets with tile or wood floors, as carpet tends to be a holding ground for pet allergens.