The horror stories are definitely out there and some of them are pretty bad. Take a look at A1 Auto Transport - I used them twice last year for cross country shipping (different areas than you, but they ship all over). I poked around online looking to find one that was affordable and almost all of the cheaper options had tons of bad reviews, customer complaints, etc. In the end, I was glad I put in the time and I'd definitely use them again if I needed to.
Edit: Nm I didn't catch the date on this