ABAP back issue has more info on Ehrlichoisis and Babesiosis , two relatively unknown tick-borne diseases. Most groups worm for hook, whip, and tape. You need to know ahead of time what to expect of your new dog. Find out how they test. Most groups wash the dogs in good flea shampoo and trim nails.
Some groups clean ears and express anal glands, too.
This was the most important consideration for us. I spent hours organizing our thoughts on what we wanted in a dog and when I began to talk to rescue organizations only one was interested in what I had gathered. One of the others wanted me to fill out a basic form and another wanted me to come meet the dogs the next time they got a shipment. Make sure you thing through want you want and need and find an organization that will fill your needs. If you've been around friends' greyhounds and love them you're definitely on the right track.