Depending on the size and distance of the move, interstate moving costs can range anywhere from $900 for studio apartment going less than 100 miles to $3,500 to move a studio apartment cross country.Larger, 4-5 bedroom homes on average can cost $2,000 to $5,000 going less than 100 miles and $8,500 – $15,000 going cross country.The type of moving company, time of year, and any specialty items or service requests can also affect pricing.