Yes, our dogs (brother and sister from different litters) were born in the barn and lived with the goats from day one. When we went to pick out our first puppy, they were in this giant pile of puppies mixed with a few baby goats, really cute! We actually decided to get an LGD to protect our poultry first since we were losing many to coyotes. However, goats were always in our plans and I also grew up with them, so we bought a couple of pregnant Boer does with our first pup from the same farm. Other than a few issues, like over excited play, that were resolved, these dogs are awesome! At just 6 months of age, our first chased off/attacked a coyote in our front yard. I was a proud mama!
There are quite a few breeds of LGD's, but the most common are great pyrenees, kuvash, akbash and maremma. We chose the maremma because they are the smallest of the LGD's (female 100lbs, male 130lbs) and we have a small flock. The larger of the breeds have a tendency to roam, but they are really just patrolling their territory. They use their bark and size as their main deterrent. So, if something is off to them, they will bark until they feel the threat is over. This is why they do not make good city pets, they want to protect their people/animals and will bark, it is their job. However, it is not excessive, just loud and scary (to the intruder). Many people ask us if we feel safe with them and our DS. Absolutely! The female will not leave his side if we are outside, which makes me feel so much safer since so many of these coyotes used to come so close to our house. Not any more.
I remember coming across a maremma breeder in Nova Scotia when we were researching LGD's. You should do a google search and visit a farm with working dogs. We also bought a very helpful book: Livestock Protection Dogs by Orysia Dawydiak & David Sims (University of PEI). Feel free to ask if you have any other questions.