That's my blue dog and orange cat curled up in front of the fire in the picture. So yes, I've had cats and dogs as pets a number of times. My current set are best of friends, they chase each other around playing all the time. The cat cleans the dog's ears, and the dog ... well he does friends doggy stuff.
Yes, cats and dogs get on and particularly ones that are bought up together in a household, Most I had together ( in my younger years!) three Irish wolfhounds and six ( yes six) cats! Yahoo! I am down to one ginger cat now, phew!
My beautiful Bitish Blue cat ruled the house, so when Welsh Pembroke Corgi puppy arrived, my dear old cat showed her who's boss by giving her a swipe across her nose with his paw!
It was really funny to see, & they never had a problem after that!