One of the best ways to limit the need to clean your belongings after a relocation is to pack them properly. Ensure all boxes and suitcases are closed tightly so there are no openings. Then you only need to wipe them down on the outside with a cloth that has disinfectant or bleach on it.
Furniture and appliances should be boxed up or wrapped in bubble wrap or blankets. Remove the outer layer of all these items in one room, then wipe them down and transport them to the various places in your home where they reside.
The final step is to dust and vacuum your entire home after everything is put in its place, while you may want to open up the windows to air out your rooms after the movers leave.