Hi
My mother has bred Italian Greyhounds for over 30 years...if you what you really want is a working dog, I wouldn't recommend it. If you want a pet, who you can take out for a run, and they might catch rabbit - go for it. I have witnessed IG's catch (and kill) a rabbit as big as they are...leaping up in the air out of the grass to keep it in sight....they were so proud, and didnt understand why I was laughing at them. Mum's dogs enjoy lure coursing, and they are fast.
If anyone is considering getting an IG for any reason..especially if you are going to do anything more strenuous w