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If you don't have a lot of stuff to move or have a vehicle with a lot of storage, consider moving your things in your own vehicle. Evaluate how many things you have to move and determine how many trips it would take in your car or truck. You can eliminate having to transport your belongings yourself with a portable storage container. These services drop off a container in front of your current address that you can fill up with your belongings. They will then transport everything that to your new address, where you can unpack it yourself. This saves money on having to transport your belongings. Some bus and train services also transport goods from place to place. Companies like Amtrak and Greyhound have services that transport belongings on their buses and trains. Call their customer service number or look on their website and find out their shipping locations. If one is near your new apartment or house, you can use them to ship your belongings. One drawback is that you may have to go to the bus or train station to pick up your belongings. Friends and family may help you move, and you won't have to pay them anything. Call up your contacts and ask them if they would be willing to help you move. You can also post something on social media and see who responds. You can thank your friends or family for their help by taking them out to eat or getting them a gift.
Consider using your own vehicle instead of renting a moving truck. Purchase a portable storage container to move your belongings. Ship your belongings on a bus or a train. Get your friends or family to help you move for free.