To me I'm not comfortable until I see how they react when the chickens run away. Running away seems to trigger their prey drive. If they can pass that test they are probably OK.
Poodles tend to have a high prey drive since they were originally used as hunting dogs, specifically retrievers for waterfowl. They are highly intelligent and can be trained. But yes, you better train your dog.
Mine were mixes from the pound. I started by introducing them to the chicks while...