No offense but a Shibu Inu is a horrible choice. While they are smart and clean and quiet...they are also extremely willful and independent.
It is so cliche but a female golden is probably a good choice, same with labs.
Whatever you do, stay away from breeds that have strong inherent traits. Most are larger breeds but for a short list the Rottweiler, German Shepherd, Akita, Mastiff, Chow, Sharpei, Giant Schnauzer, Malamute, Husky, Belgian Malinois, Doberman. I would include pitbull's but they are awesome with kids, albeit another strong breed that needs guidance and training. All in all, I would not go for anything I have listed.
Small dogs are GENERALLY bark happy, anything like a Chihuahua/Yorkie/Jack Russell has the tendency to be watch-dogish.
As a final word, if you decide to ignore your requirements of size and shedding issues...
St. Bernard's and Newfoundland's from reputable breeders could not be more amazing with children. I stress the reputable breeder comment because it is vital to their temperament. Absolute gentle giants, and if I had to recommend a breed to someone who was open to all ideas, they would be my two choices. Also as a first family dog, I'd probably go with a bitch.
PS - Back to the pitbull issue. If you can find someone who does puppy evals with the litter at 6-7 weeks and finds you a female pitbull from a KNOWN BREEDER that is submissive, you basically have your dog that is great with kids and can hang with a 3-4 mile hike without breaking a sweat. This is of course when it is older, don't go killing a dog before it has matured =P