I have a pit puppy right now, and I have adopted a 4 year old adullt before. I will say that in my experience, it was far more enjoyable to own the adult lol. I am not saying that pit bull puppies are a bad experience, it just does take a long time and a lot of training for them to mellow out and become spectacular family dogs.
When I had adopted my adult she was older, and came with the canine good citizen certificate. She was already a well trained, house broken, well behaved dog, and did indeed get along with cats. Best dog that I ever owned.
My puppy on the other hand does puppy stuff lol. She has accidents on the floor, chews things up, and still needs lots of training. She is actually pretty good for a pup, but still has a long way to go before she will be the type of canine companion I had before. I do keep her within an eyes distance from me at all times lol. Otherwise bad things would happen She does do well with the cats though. She is very snuggly, and does very well at off leash work. Pits thrive on human attention, so teaching them to come when they are called is easy. I consider that a plus.
I have fostered a german sheperd and a siberian before. I can say that niether of those would be easy to do anything off leash with. This could have been because of previous experiences with people, but if they had gotten off leash, either of those dogs would have been gone never to be seen again. I can also say that a husky may not be the best choice if you have cats. Good dogs, but both need lots of exercise and training. As does a pit bull.