I have had dogs all my life and chickens/poultry most of my life and never had a dog injure or kill any poultry. Correction: The Siberian Husky but we solved that pretty fast by rehoming her when training didn't work. I have four dogs now and the youngest, just turned one, is in here with me watching the incubator. Chicks are hatching now and peeping away.
IMHO a large part of the solution is figuring out which dog breeds to get and which to stay away from The Siberian was the only problem. Even the terrier let chickens alone.
What breed are your dogs?