Please, don't put the enclosure in the same room as the cats. Cats are the predator an the snake is the prey. The cats will stress the snake. Cats will sit on top or in front of the enclosure batting at the snake. For the cats it's live tv, they love it. Just like cats do with fish tanks. Don't introduce the snake to the cats. Don't have the snake out with the cats. The biggest BP can't eat a full size cat. Large rat, yes, small newborn kitten maybe. Now, a full grown cat would bite the head an kill the snake. House cats are just miniature lions. If you search youtube you'll find some vids of cats trying to get to the snakes in tanks to get an idea.
I've had Maine Coon an Manx cats that killed snakes an bought them home. It's real fun having Kitty bring a six foot rattler into the kitchen.
BP's can be some of the calmest snakes. Many call they puppy dogs. But they are still snakes. They want heat, shelter an food. Sometimes when the time is right they seek a mate. They don't come when called an don't sit, stay or beg. They are a thing of beauty to be enjoyed.
Good luck!
I finished typing after you posted. Looks like you'll be fine.
Good luck!