I recommend this automatic cat litter box:

Omega Paw Self-Cleaning Litter Box: Litter Spinner Automatic Cat Litter Box
We love our cats and let’s be honest as much as we love them when it comes to cleaning out the aftermath it can be a pretty tedious task to do so. Luckily technology is on our side and is able to provide us with automatic cat litter box which self cleans from the start and makes our lives so much easier.
Automatic Self Cleaning Litter Box Review Litter-Robot III Open Air Review - Floppycats
Optical light sensors detect the cat and the rake starts automatically 20 minutes after the cat leaves the box. The rake slides right through the congealed crystals, sifting the feces under a small cover in the tray. Then it flips over and rakes the crystals again to smooth them out. After a few weeks, the litter becomes saturated and starts to smell so the tray must be thrown out and replaced. The starting time can be adjusted to 5 or 10 minutes delay using the control panel. Top of this automatic cat litter box pageLittermaid Multicat Automatic Litter BoxPeople who have purchased this automatic litter box say their cats adjusted to it easily.
Unfortunately, flushable or clumping cat litter and litter mats just won’t do the trick for you anymore and you just want something new, something automatic, something that will take care of the nasty business for you. And here’s where automatic and self-cleaning litter boxes come in handy. If you thought automatic and self-cleaning cat litter systems looked like something that came out of a futuristic Sci-Fi movie, then you won’t be disappointed by the appearance of the Litter Robot III Open-Air.So, instead of forcing your furry pet to start using the actual toilet, let’s take a look at the best automatic and self-cleaning cat litter boxes on the market these days.The system automatically cleans the cat’s waste 3, 7 or 15 minutes after it has detected that your pet has left the machine – depending on the settings you choose. The litter chamber then rotates, carefully, dumping the clumps of used litter into a special waste container, and then rotates back again to offer the clean, leveled out litter for your kitty’s next bathroom break.Litter Robot III Open-Air is a fully automatic self-cleaning system, which will fit any cat regardless of its breed and size – from the tiny Munchkin to a grown-up . The large entryway is specially designed to offer comfort and safety for your cat, and the extremely durable construction is manufactured to withstand the tests of time, wear and tear.The system features an automatic rake, which sweeps through the used litter 20 minutes after the cat has done its business in order to push the waste into a designated compartment equipped with a trap cover, which prevents the odor from spreading in your home.Construction
The ScoopFree® automated cat litter box consists of two parts. The top part is much like a frame and it sits on top of the bottom part, the disposable crystal litter tray. The plastic is quite solid and robust. The crystal litter tray is made from cardboard that has been specially treated to repel the cat’s urine. That is, urine does not soak into the cardboard.Ideal for maintaining the natural needs of multiple cats at once, this system comes with an automated rake for scooping the kitties’ waste and a total of 4 waste compartments all of which are equipped with carbon filters to reduce the unpleasant odor. On top of that, the LitterMaid also has a special paw cleaning ramp which will catch any dust or litter particles off your cats’ paws.