Originally Posted by bazaar1:
“Don't be put off the mixes, they are often healthier than pedigrees (who have numerous genetic issues due to small genetic pool), so as long as you find a good breeder tour no worse off than spending the same price on a pedigree. Personally I'd be rescue all the way, having had several pedigrees over the years and having no end of behavioural and medical issues with each and every one of them. Obviously there are pedigrees that are fine but it depends on the breed, the specific blood line and what your looking for in a pet.”
Finding a good pedegree breeder is hard enough, finding someone who knows what they are doing with cross breeds is like hen's teeth or rocking horse poop. They are almost all bred with one thing in mind - money. They are often not healthier than pure bred as the two breeds used share a health problem - usually PRA and dislocated knees in the small breeds. Though it is true some illnesses require both parents to be carriers, not all do and you can end up with health problems from both breeds.
Additionally, the temperament can be a mixed bag. As mentioned before, the Pug an the Beagle have very different 'raison d'etre' so you may expect a lap dog like the Pug and end up with a solid, aloof hunter. With a 'Cockerpoo' you may expect the biddable nature of the Miniature Poodle and get the working gun dog temperament of the Cocker.
All of the above may not matter to a new owner and there is a lot to be said for cross breeds and especially mongrels, but in this instance - first time owner with a child with special needs - I would probably err on the side of caution and go with a 'good bet' when it comes to what to expect - size, temperament, care requirements, health - and what will suit the family best.
I wouldn't rule out an adult Greyhound though as mentioned. I also wonder if a Flat Coated Retriever might be suitable? Both are a lot bigger than a Pug x Beagle but are lovely dogs.