There are a lot of moving companies out there. Some are cheap, some are not. Some are good, some are not. This is the reason why the responsibility to choose the right moving company falls on your shoulder.
Research is the key. Make it a point to take time and do your research. A company with good ratings in BBB means its a good company. Ask for referrals from people that you know. Let people know that you are on the process of looking for a good moving company and you’d appreciate an honest to goodness recommendation from them.
Getting your hands to as many estimates as possible can also help in landing at a good moving company where your budget meets their price. Do not limit yourself to one company as there are a lot of fishes in the sea and what better way to end up with the best than by looking at the rest.