Adding to what GD said...

Vette,

Greyhounds, just like all dogs and people, have varying temperaments. Before ex-racers are adopted out, they are tested with cats (to check if they're cat-safe), small dogs (to see if they're small dog-safe), small rodents and birds (to see if they're small animal-safe), AKA their prey drive. However, these tests are very general and, imo, artificial. Therefore, a "cat friendly'' Grey at the adoption group might turn anti-Kitty at the adopter's house. So, just as it's the adoption representative's responsibility to match the right Grey with the right home, it's also the new owner's responsibility to ensure the safety of all household pets.

But yes, many Greyhounds share their homes with multiple dogs of all sizes, multiple cats, and a wide array of small animals. For what it's worth, I own a Greyhound, a Pekingese, four budgies, and one cockatiel.