From what I understand, not being from Australia, there are reputable breeders of Labradoodles there because that is where the breed originated, but the dog and the flight will cost somewhere around $6,000 and up.
If you are looking or a suitable dog breed for your family I assume you have a list of requirements.
Now, if your list is specific then getting a mixed breed or "designer" dog is not a good idea because with any mix there are going to be random physical and personality traits. The whole reason to have registered and purebred dogs is so that people buying know what they are getting.
If your list isn't too specific then a shelter pup should fit the bill just fine and be inexpensive plus have the benefit of saving a life and of any discounts and support the shelter offers.
Maybe if you shared what you are looking for we could help direct you toward breeds and breeders.
Is there any reason you don't want to simply search out a good Poodle breeder since you seem to want an "oodle", which is a Poodle mix. They are intelligent dogs and come in 3 sizes to fit your needs
The difference between supporting a puppy mill and supporting a backyard breeder isn't much, really. Same goal:$$. Same chance of genetic or behavioral issues.