Another one who agrees mixing Lurchers/ grey hound type dogs is s very bad idea. They've been bred over centuries to chase down small furry creatures.
You can never be sure with dogs and cats, an ex employer of mine had a beautiful, mellow apricot Persian. He was so chilled, she'd sometimes bring him into work, and he'd lie on the front desk demanding tummy rubs.
She and her DP also had a couple of Airedale terriers, who he used to pal about and sleep with. One day they came home to find their gentle little Persian ripped to pieces. 
Then again I had a Staffie, supposedly vicious dogs. She was so scared of the new kitten, she would turn her back when he entered the room. He was relentless in making friends with her, eventually she gave in, and let him sleep with her.
I'd suggest to do some research into cat friendly dogs, and adopt an adult who's lived with cats before.
Then again, my ndn has a Lab, supposedly cat friendly dogs. He's not.