Hi Kay, Greys make wonderful house pets and as you say needs a bit of time and patience. When you bring your dog home for the first time walk him around the garden first, if he is to be let loose you need a fence of at least 5ft saying that my old racer cleared a 6ft wall with ease. Greyhounds have lived their entire lives in kennels so before becoming a house pet it means changes in routines for the dog, but you will find they are intelligent dogs and soon adapt. For the first few days keep the dog on a lead and muzzled. When introducing the greyhound to your cats, this is where the fun begin