Pets that are considered hypoallergenic are generally better for people with asthma as they produce fewer allergens. Some hypoallergenic pets include certain breeds of dogs like poodles, bichon frises, and Portuguese water dogs, as well as certain breeds of cats like Siberian and Balinese. Additionally, small pets like fish, turtles, and certain species of birds can also be good options for people with asthma.