Greyhounds have little padding and they have skin that tears easily. They have little protection from falling toddlers or rowdy children. They have a quiet nature and do best in a tranquil environment. If any of your children are under school age or your kids are particularly active, don't get a Greyhound. I'd even go a step farther and tell you don't get any adult dog if you have young children.
Dog bites are one of the leading causes of death in children.
And I can assure you, biting a child is a leading cause of death in dogs. If you insist on combining children and dogs, research breeds very carefully and commit yourself to learning and taking all the steps necessary to make the combination work. See the Resource Review section for more information. Just because your lifestyle and interests change doesn't mean you can abandon a dog like a used toy. Divorces, job changes, relocations, and new babies happen.