Looking for professional moving and storage services in South Austin? Lucky Mule Moving & Storage offers At Lucky Mule Moving, we specialize in local moving services for residents in South Austin, offering top-notch packing and unpacking services.. Whether you’re moving locally, tackling a long-distance relocation, or need secure storage, we’re here to help. Our team is dedicated to providing Our friendly team provides a stress-free moving experience by taking extra care with your items and ensuring smooth transitions in South Austin. Our South Austin location serves neighborhoods such as Oak Hill, Slaughter Creek, and Zilker. If you don’t see your area listed, don’t worry—we’ll send a team from a nearby location to handle your move!.