Congratulations ! Exciting to get a homestead started. I have experience with LSG dogs, I moved to my present homestead 9 yrs ago...where there were 6 Anatolians in residence. The dogs were bred here, so there was a collection of favorites...etc. Now we have two dogs.
So I have some suggestions...
First of all, enjoy being there, take time to be with your property to get a feel for it and let the land suggest where things might be best situated.
Fencing an area for the dogs is important. LSG can be wide ranging, so keeping them contained is important. We use radio wire strung along perimeter fence to establish boundaries. The dogs wear a collar to warn that they are close to the edge. We also have large dog houses with large fenced areas including shade, to provide time off zones, with radio collar off, usually during the day. The dogs are sometimes adept at wriggling under or jumping over fences that look secure. We keep the dogs within a fenced area that surrounds our house area, orchard/garden area to protect those areas from deer, bear, raccoons and coming soon elk...eek! If I had a chance to start fresh, I would do a moat-like dog run arrangement to surround the areas/pastures needing protection.
We do keep a large zone 5 (20 acres or so) forest and field free of dogs, so the fauna can thrive unmolested by dogs.
I do not have experience with actual livestock and the dogs. From my understanding, puppies need to grow up with the livestock to get along peacefully.
Hopefully, Someone else may have better training suggestions. We do have chickens and horses, our dogs would eat the chickens if given a chance...
Our chicken house has a large outside area that is chicken wired, including the roof. We let the chickens out to roam during the day when the dogs are in other fenced areas and lock them in at night, when the dogs patrol the surrounding area.
IMHO, After moving in, I would start with chickens first, building a sturdy chicken enclosure to thwart predators. Then work on fencing, dogs , other critters etc.
So we find our dogs very useful and pleasant company. A pair of dogs is recommended, they work well as a team.