Please recommend some good moving services that deal with car shipping in the US.

I believe you want some big names since you haven't specified your exact location. And that can be tricky as almost all of the industry giants, charge like crazy for a job like that. But there's one exception actually. Here's the best Car Transport company for you.

Yeah. Something like that. You're right. And thank you for sharing this link. I will check everything about them on the web and then I will decide.