Move-out cleaning is the one cleaning job with a scoreboard attached. Either the inspection passes and the deposit comes back, or it does not, and the difference usually comes down to a handful of specific places rather than the overall look of the house.
The appliances are first, every time. Inside the oven, under the burner grates, inside the refrigerator including the drawers and door seals, the microwave interior, and the dishwasher filter. An empty apartment with a dirty oven reads as not cleaned, no matter how good the floors look.
Cabinets and drawers are second, and they are the most commonly skipped. Every cabinet gets opened and wiped inside, including the ones nobody used, along with the shelf in every closet and the rod above it. Inspectors open things. That is essentially the job.
Then come the details that photograph badly: baseboards, blinds, ceiling fan blades, air vent covers, window tracks, light switch plates, and the marks on walls around door handles. None of these take long individually, and together they are usually the difference between a full deposit and a deduction.
Bathrooms need to be descaled rather than just cleaned. Hard water in Central Texas leaves a film on shower glass, faucets, and shower heads that a general-purpose spray will not lift, and an inspector will see it immediately because the light hits it.
Floors go last, edges included, after everything above them has been finished. And time the clean for after the movers are gone. Cleaning around boxes is the single most common reason a move-out clean ends up half done.