Most house moving companies want to physically inspect a house and the desired placement location before estimating the cost for them to move it. The cost for moving any size house can range between $12 and $16 per square foot, so obviously a smaller house with not a long distance to travel will be cheaper to move.The roads traveled during the move can add to the cost of the move.efore making the decision to move a house, people should contact a professional house moving company to get an estimate on how much it will cost to move the house. The entire process can become pretty costly when all other expenses are factored in, but it could still be less than purchasing a new one.