Vinegar-water makes a great cleaner. Household cleaners are not needed not only because they're toxic to cats, but they can't be great for us to inhale, either. Vinegar is a great disinfectant(you don't need bleach - at all), Vinegar can be used in laundry to fluff it up, and cleans counters and toilets and sinks and tubs efficiently. I use vinegar to clean toilets; it does a great job. I use vinegar to clean litter boxes, too.
Mind, it doesn't necessarily mean you can't use some products, but you shouldn't use those products in rooms that cats or dogs come in contact with either through scent or touch.
Just take it back to nature. Clean your house like people used to - before corrosive and abrasive chemicals were invented.