Ensure you are having the packers properly label each box as it goes onto the moving van. Keep all items that you use frequently in one part of your apartment or home, which ensures they are packed with each other.
Then you can label the boxes “important” or “urgent” to indicate those are your most used items. Before you unpack any of your other boxes, you can take everything out from these boxes when your shipment arrives.
If you have important items scattered all around your home, they will be packed with other possessions, and you will have to open up each box to access those items.