Yes actually Greyhounds do have a high prey drive Amstaffer. With our local Greyhound rescue, and the Vet clinic my Sister rents space from...They fostered and homed over 100 retired racing Greyhounds from State side. I think there were cautions about cats and small animals and for goodness sakes never let them off the leash - this is the way the Vets/greyhound rescue talked to dog walkers!
They stated that they are couch potatoes and great for most people. But, they do have the drive to chase small furry animals...perhaps not in the house, but, outdoors different story. They are also sprinters and need a good run daily...not a long run, just a good sprint around an enclosed area.
Just like my Rottie, she is wonderful with cats, she loves them...I take her to a friends house to play with her kitten and I have a cat as well. She plays with the cat, sleeps with the cat, will back down if a peice of food is dropped and allow the cat to take it...will not mess with the cat when shes eating etc. But, if outdoors, very different story...she will chase the very same cat she was just snuggling with...it's called predatory drift.
**Just to add, my Rottie wanted to eat my kitty when I first rescued her. It took time and patience. Any dog can get along with cats, it just depends on how the owner handles it. Perhaps with first time dog owners it wouldn't be wise to take on such a challenge. I've heard some pretty horrible stories of dogs killing/maiming house cats...very sad. These owners just weren't prepared and didn't do their research.
As mentioned a dog proven good around cats is your best bet. But, keep in mind that with a breed with a high prey drive some movements can put them into predatory drift..especially outdoors, not as often in doors...just my humble experience.
