So you are looking for an Australian Cobberdog. Even though hypoallergenic Labradoodles do exist, not all of them are, as most Labradoodle breeding programmes focus on aesthetics. The Australian Cobberdog standard determines that the dog must not change or shed its hair. Its coat and saliva are innocuous, and before acquiring one you can test to see if you are allergic to it.
Australian Cobberdogs only have one layer of hair, which is why they do not shed their coat. Furthermore, they very rarely lose hair and are hypoallergenic dogs. They're easy to have at home, since the house won't be full of dog hair, or to be used for therapy in hospitals or other centres where hygiene is very important. The Labradoodle, depending on its type and breeder, can lose its hair and even shed its coat.
The Australian Cobberdog is a great family dog even though the breed was developed to obtain optimal characteristics needed to perform the work of a therapy and assistance dog. This is a dog with the ideal energy level to serve for assistance, it is extremely intelligent when it comes to learning how to do its work, it is hypoallergenic and is available in 4 sizes. In addition to all of this, it is extremely sensitive to children and the elderly.