I think it has more to do with individual temperament and training than breed.
Look for a puppy that seems to be interested in you and pleasing you instead of the typical hyper rambunctious puppy most people seem to like.
Seeing the dogs all the time will help the birds to get used to them.
But sudden movements and excitement, even from humans, will frighten them.
They won’t die from that though.
If that were true mine would’ve died a long time ago lol.
It’s constant chasing, stalking, playing that causes...