Greyhounds are awesome, I have rescued two of them. They can be OK for people with allergies due to their short fur and very little dander, consider fostering one to see if it fits in and that the Mrs. allergies aren't affected. See more info http://www.northerngreyhoundadoptions.org/OwningARetiredRacer.php
However be warmed, owning these dogs are like joining a cult. They are not typical dogs, they think they are gods and expect to be treated like them LOL.