First things first, you’ll need all the items out and packed up. Don’t even try cleaning room by room as you pack or you’ll end up exhausting yourself and cleaning the same place multiple times.
Things get dirty from boxes and tape. Embrace it and once fully packed up, stack your cartons in a central place that allows you to Dyson and mop all the floors.
Wipe down common surfaces such as countertops and the insides of drawers. You can always hire a cleaning crew post-move if you don’t have time and energy.