You have one dog, want to adopt another, take dog number one with you to the animal shelter to meet potential new canine roommates. Cats are entirely different.
I've already (some years in the past) been through bringing a new cat into a household when I had no idea what I was doing. My current cat came into the shelter as a stray, and in the time I've had her I've figured out several things about her. One is that her previous human home had men, not women (me, I'm a woman) in it. She adores it when men stop by for any reason. She has a number of dog-like behaviors, making me think her previous home had dogs. Large dogs, because she can act sometimes like a large dog. Not too long ago a man knocked on my front door looking for someone, and he had his four small dogs with him. Well. Tatiana (my cat) was totally entranced and I suspect she would have gone home with them in a flash.
Sometimes when a stray cat shows up in my back yard or at my front door, she gets very interested and friendly, so I suspect she would do very well with another cat in the household. I do keep on looking at the cat listings at my local animal shelter in case one shows up that I think would work.
Aren't our furry four legged friends wonderful?