I’ve used Shiply a couple of times in the past with no problems. The first time to bring my Esprit from Norwich to Chichester when I bought it and also to move a boat from Skye to Chichester. I have a local guy now (Dan) who I use for cars but he’s obviously not ideally located for a Liverpool to Midlands job!
Like others have said, check feedback and insurance cover and you should be fine. Most of the people I’ve met doing thins are interested in cars and it’s part of why they do the job so generally speaking they care about what they do.