Great info, I am also looking into greyhound rescue.

I know that they can shed a lot, don't let the short coat fool you. They can also have teeth problems, and need regular tooth brushings to keep up with the diseases of the mouth. Supposedly, for a lot of them house training is really easy (with the help of a crate) because they are generally 'kennel trained', meaning they won't mess their kennels.

You need to be careful where you have them sleep, as hard surfaces (a metal crate w/o a blanket, linoleum/tile/hardwood floors) because they are inclined to get pressure sores. If you board them at a kennel, make sure they are aware of this fact! I've seen many dogs come from boarding kennels who had no idea.

I also know a grey who is terrified of ceiling fans, you cannot have him in a room with one that is turned on or he panics.