@Linkat,
It's often best to rent a truck, hire day workers and supervise the job yourself.
The BBB is worthless. I can open a business selling crack off my back porch and get an A rating with the BBB.
Many moving companies work like construction contractors. They may do heavy and attractive advertising, but they hire guys with a truck who could very well be sitting in front of Home Depot looking for work most of the week.
And if you don't live near a major city/highway, then best break open the piggy bank.
If you can visit the moving co. offices in person that will tell you a lot.
If the company comes referred by a friend or other trustworthy source, great!
Go online and check out RipOffReport.com, Complaints.com and other such sites.
Bottom line, for the lowest rate and the best assurance that your stuff is not going to be damaged, you'll have to do most of the work yourself anyway...including moving stuff out to the driveway or to an easily accessible area if you live in a bigger apartment/condo complex or your main entrance is difficult to access.