Greyhound Care
Greyhounds love their beds - something soft, such as a duvet that they can curl up on/in, but can also lie with legs stretched out straight as they sometimes like to do. If he has been in racing kennels it will be second nature to him to jump up onto his bed, so your best sofa - or someone's bed will do just fine! You will need to teach him gently if this is not allowed - he will not understand if you chastise him for doing what he has been expected to do for the previous few years.
It is worth remembering that greyhounds sometimes sleep with there eyes open. Some verbal indication that you are about to touch or move a 'resting' dog will avoid startling him.