Dogs and lawns are not a great combo. Unless you have a very large yard that you can section off so your dog has his own area, it isn't likely that you can have a great lawn and a greyt dog. Get used to it or get a cat so you can use a litterbox. Greyhounds love to run and while they don't need a lot of exercise, when they run they will destroy your landscaping. If gardening is your passion, a dog who loves to run may not be your best choice.
Dogs make messes.
Even the best mannered, best trained dog gets sick. Dogs track in dirt. Dogs and fancy furnishings, expensive rugs, and elegant decor aren't a good mix. If you want a dog that you can house outdoors or if you can't stand the idea of a dog on your bed or furniture, this is not the breed for you. Greyhounds are not suited to living outdoors and those bony joints need padding and a soft warm place to rest.