Indeed, by using a crate, you can help your greyhound feel safe and secure while left alone. This will help to prevent any problems associated with separation anxiety. You can think of a crate as a large dog bed that your greyhound will be happy in. We recommend that you adopt your greyhound when you are on vacation so that you may gradually acclimate your greyhound to being alone over longer and longer periods of time. Most organizations will give you lots of tips on how to do this when you bring your new greyhound home.
Many people keep their greyhounds in crates or a dog-proofed room while they are at work.
I have cats. The greyhound was bred as a hunter five thousand years ago. Some greyhounds have a keen prey drive and will chase small animals, including cats. Some greyhounds are afraid of cats. After a period of educating and adjusting, the vast majority of greyhounds live peaceably with cats and even sleep with them.