Blissful Jumper,
I think what Itsbob is trying to say is that any time you take two different purebred breeds and mix them, you are making a "mixed breed" or better known as a mutt.
If they were considered a purebred (which means bred from members of a recognized breed, strain, or kind without a mixture of other blood over many generations) then someones Pit Bull/Lab mix would be a purebred Pitador or Labrapit, right? No, it's a mutt.
Not trying to be a smartass, just pointing out the fact that the AKC recognizing the Labradoodle or Puggle is ridiculus because they are in essence a mixed breed and not at all "pure". No offense but your Cavapoo/doodle will also fall into the mutt catagory because it isn't truely a purebred dog. The saddest part about these mixes is that they are very "new" and there are already rescues dedicated to them.
If you want a purebred that is hypoallergenic, why don't you look into the many breeds that are already out there. As you already know, the poodle is in this catagory since that is the crossing of the breed you were looking at. However, no dog is completely 100% hypoallergenic. If you choose to go with the recent trend in poodle mixes it is best to purchase a second or third generation puppy. Often puppies produced from the first generation lack the characteristics of a poodle, which make them less ideal for allergy suffering owners. The best test to determine whether your allergies will be affected is to spend 20 minutes in a closed off and confined area with the dog (cars tend to work well). This is a simple test which can save you from heartbreak in the future.
A list of purebred dogs that are considered Hypoallergenic. Many of these breeds can be found through breed specific rescues or even some of our local shelters. Good luck finding the right dog for your family.
Airedale Terrier
American Hairless Terrier
Barbet
Basenji
Bedlington Terrier
Bergamasco
Bichon Frisé
Bolognese
Border Terrier
Bouvier des Flandres
Cairn Terrier
Chacy Ranior
Chinese Crested
Coton De Tulear
Dandie Dinmont Terrier
Fox Terrier (Wire)
Greyhound
Havanese
Irish Water Spaniel
Italian Greyhound
Kerry Blue Terrier
Lagotto Romagnolo
Lhasa Apso
Maltese
Miniature Poodle
Miniature Schnauzer
Peruvian Inca Orchid
Portuguese Water Dog
Puli
Samoyed
Scottish Terrier
Shih Tzu
Silky Terrier
Soft Coated Wheaten Terrier
Spanish Water Dog
Standard Poodle
Standard Schnauzer
Tibetan Terrier
Toy Poodle
Welsh Terrier
West Highland White Terrier
Wirehaired Dachshund
Yorkshire Terrier
Xoloitzcuintle