I had this with a car I bought from St Helens to Kent.found it easier to drive up with a mate and his trade plates as to get a car back would cost in the region of £400 or train up and drive back around £100 but it cost me £150.
Set up a quote and wait for the prices to come in.
Tip though.... give it a few days... as all the quoters can see the other prices, they eventually start to undercut each other.
I had a classic Mini moved from Essex up to Cheshire. The quotes initially started around £270-300 and within a few days I accepted a quote for £180 and the service was excellent.