I have met a couple of people who have several rescued greyhound rescues. They are gorgeous doggies. The first one I met while I was walking Teddy.
The second person I met with them, I told her about my amazing encounter with the first set of greyhounds. She warned me never to take my Yorkie near greyhounds again because of their extremely high prey drive.
I would be wary of having them around small, furry animals.