For an 8000 pound cargo that needs to travel 100 miles, the standard moving cost is $2,400 on average and it can reach up to $3,800 if packing and mover insurance services are added. The average cost of moving a 3-bedroom apartment and an 8,000 pounds cargo that needs to travel 500 miles, you can expect to pay around $3,400 on average and up to $4,800 with packing and insurance.