You’ll likely still pay at least $700 to $1,000 to move a home 20 miles. Many moving companies have a flat-rate fee for shorter distances. Often, this short-move rate is for 50 miles or less, so whether you move 10 miles or 50, you'll pay the same fee. Some companies charge a flat rate for up to 100 miles, so you may want to shop around to find a better deal on a shorter move.