I only ever had ONE cat, and I was like, 8.
So I'm not recommending this course of action, only relating it. Every time I see a cat and dog scuffle, it makes me laugh.
I got Poof from a dairy farm where my papa was working; they had too many barn cats, and she was very snuggly and sweet--at the farm! And at home, too. As long as the dogs weren't around, she was a slobbery lovey purrer who liked nothing better than to curl up under your arm. But she HATED Katiedog and Spotty, with a passion that I, as a human, reserve for pet store people.
I was determined they were going to be friends though, and refused to pay any attention to the grownups who were giving me a hard time with all their "it's not natural" crap.
I spent the whole summer carrying Poof in a huge macrame zipper beachy bag my grandmother had brought back from Mexico the year before. Every time she hissed at one of my dogs, or clawed at them, whatever--I would put her inside the purse, and zip it closed, basically netting her. Then I would call the dogs, and pet and kiss them while she was bagged right next to me. I wouldn't let her out until she calmed down. Once she was calm, I'd let her out, and would love and snuggle her, until she'd start tangling with one of them again--at which point she'd get bagged, and so on, and so on.
I know, it sounds just horrible, and she didn't like it much, believe me. And being a cat, she was stubborn about the whole thing, too. Either of the dogs would have quit torturing her in a week to avoid getting bagged. Not Poof. It was SEPTEMBER before that cat finally stopped confronting Katie and Spotty every time my back was turned.
I don't know that she ever LOVED the dogs, but she got along with them. By Christmas time, I could even get her to lay on the arm of the sofa, while I cuddled the dogs next to me on the other side.
So...do you have a big macrame bag?