The short answer is No, and here’s why.
Ethical breeding isn’t a hobby. People who work hard to breed purebred dogs, or in this case, cross breeds of two purebreds, have invested a lot of learning, money and effort into what they do. And once the puppies are born, can you devote at least 8 solid weeks to the puppies’ care, night and day? Do you have buyers for the pups? Dog breeding is very complex, and it can be very expensive too.
Over population. There are waaaaay too many dogs and puppies in shelters… adding your own litter means fewer of those dogs have a chance.
The ASPCA estimates that in U.S. Animal Shelters alone, 3 to 4 million dogs and cats are euthanized every year, simply because there’s no room for them. That’s more than 7 pets every minute, every day.
Your pet should be spayed or neutered for health’s sake.
Females that haven’t been spayed have a 25% greater chance of dying of cancer. Females that haven’t been spayed can quickly develop Pyometra, a deadly uterine infection. (http://www.pethealthnetwork.com/)
Male dogs who have been neutered live, on average, 40% longer. Plus they can’t of course, get testicular cancer.
“But I want my kids to see the miracle of birth.”
Sure, the birth part is a miracle. But what about the life after birth? If the puppies don’t land in a good home, or if you sell them to people you don’t know and have not screened, then that’s a hard lesson learned for the dogs. And it might even teach kids that life is cheap. There are lots of great videos on birth and some shelters have live webcams of birthing.