Moving: Flat rate or by weight? (Need advice ASAP)

A little off topic - we are just now starting to get quotes for an interstate move. One thing every web site recommends is to research the moving companies and what I have found is that each one has many multiple horror stories in review sites. I am certain that satisfied customers don’t tend to post lengthy reviews, so there is that self-selection bias. But, how does one move past the feeling that every moving company is a flaming shit-show at least 80% of the time and that I am bound to want to shoot someone before I am done?