Beware of companies that are just a transport broker/middleman. You want an actual transport company with its own drivers and trucks. I have used
https://intercitylines.com/ with zero issues. Not the cheapest, but the trailers are enclosed, and your car will be in good hands. Communication can be a major problem with an independent operator working through a broker, particularly if the truck is stopped somewhere due to a mechanical issue. And you don’t experience a driver asking for more money to offload your vehicle at delivery.