To find affordable moving companies, find several options online and in local newspapers, or ask the people you know for references. Get price estimates from the companies, and choose the lowest one. A good way to save some money is to pick several companies and negotiate with them, as it is possible that some companies may offer you a discount. In addition, find out if you can get a cheaper price if you choose a different date for the move.
To reduce the cost of moving your belongings even further, look through all of your things, and think if you are going to use them in a new place. You can donate the things you don't need or sell them at a garage sale to earn some extra cash. Another way to save money is to pack the belongings yourself instead of hiring people to do that. However, it is better to have a professional pack the most valuable things to ensure that they don't get damaged in the move.
If a moving company you have hired offers to use their packing supplies, carefully think about it before taking the offer. Think if you have some old boxes and other supplies from previous moves, as that might save you quite a bit of money. Try to move in autumn and spring instead of summer, as it is usually cheaper.