Have you ever owned a LGD? I'm just bit concerned for you and the dog. I say this because Pyrenees for the most part have become more of a family pet rather than a LGD. They need to start training as a LGD as soon as they are able to run around.
Since you've read a lot about the breed, this is a very good start and I don't have to tell you of Pyrenees ingrained behavior. When they say they bark a lot. They really mean it and I mean it. They also tend to wonder so unless you have a fully fenced area where the dog can't wonder off your property, they WILL wonder off your property. She doesn't know your property boundry. And if you are have finally moved out into the country, many farmers with livestock will shoot and kill a stray dog first then dispose, the SSS rule.
You need to get several goats ASAP and start her immediately with her training and for her to recognize the flock as his family. She needs to be sleeping with the flock, she needs to be feeding in the same area as the flock. Have her microchipped. So if she wonders off and found, her chances of being returned to you will be much better.
There are so many Pyrenees for adoption after people were disappointed with their dog failing as a LGD. In fact, I'm adopting a fully grown Pyrenees who started as a family pet, then given up to a family with a flock of sheep. The new owners thought he would become a LGD. NOT! He wasn't raised with a flock so all he wanted to do was spend time with people and not the flock. he failed miserably as a LGD and given up for adoption. We will be his third family in his short one year of life. We already have an elderly Pyrenees so he can teach him the ropes. The resuce will never be a full fledged LGD.
Your puppy is bonding with your family and not with the flock!
Please do not take this as an admonition on you or your family. I'm saying this to help you avoid pitfalls of having a Pyrenees as a LGD. They don't automatically become LGD. It takes time to train from scratch. She needs to bond with the flock and not your children or you.
Name? how about Claire, Amelie, Coco, Jessemine These are some french girls names.
Wish you the best with her training.