Depends on the cat and the dog. I've had my dog for 4ish months now and my cat, Chili, is just to the point where she will walk by a door he is babygated in without trouble and will sit ten feet away from him while he's in his crate chewing a bone. When she can see him outside she hisses and spits and attacks the glass.
She is terrified of him, but she hates him, too. So if you have a cat like her it's going to be an uphill battle.
With the other kitties, you can keep your pup on a 6 foot leash and make sure she doesn't chase them. That has helped mine bunches.... Tom and Chili KNOW when he's on a leash they can flounce right past him and he won't be following them with his nose glued to their butts. But he's gotten a lot better, I can have both kitties on the ground with him in an enclosed room and there isn't any chasing or nose-whacking if I'm careful to defuse situations when they arise.
Just make it safe for your cats. I doubt she'd really hurt them, but they don't know that. Help them become more comfortable around her.