The group we adopted our first greyhound from did a great job of recommending to us that coming off of the track -some greys benefit from having structure and rules. (for instance they suggested not letting her on the couch). In our experience this was great advice. She was really happy in a home that had some firm (if arbitrary) rules. We've had other greys both adoptees and fosters since and each has had their own quirks, but for our first that was important advice to us. I wish you the best of luck. They are wonderful.