So are Sharp Shinned Hawks, the third species of "Chicken" hawk. Another name for the Sharp Shinned Hawk is a "Blue Darter"Red-shouldered Hawks likely not going to be a problem. What do you mean by "chicken hawk", Red-tailed or Cooper's Hawk? I am not familiar with anything called a grey hawk but adult Coopers are blue-gray. Management can vary as a function of hawk species and type of chickens you have.