The cost of moving from Illinois to Louisiana will vary depending on the size of your household and the distance of the move. On average, the cost for a full-service moving company to move a three-bedroom house can range from $3,500 to $8,000. A DIY move with a rental truck can cost around $1,500 to $3,000. Other factors that can affect the cost of the move include the time of year, fuel costs, and any additional services needed, such as packing or storage. It’s recommended to get quotes from multiple moving companies to compare prices and services.