A few years ago I acquired a Roomba e5 vacuum robot. It was the best purchase of my life, hands down! It has saved me so many hours of cleaning that I think the price was beyond fair.
With so many cats, I set it to clean the house every single day in the morning. It works like a charm and requires minimal maintenance (emptying the dust compartment and some occasional things that get stuck in its gears).
Highly recommended to cat owners!