We used a company based in Bristol and moved from West Yorkshire to Carcassonne. Just a Luton box van for us, but the whole thing went very smoothly. We didn’t want delivery for 6 days after collection and they just put the whole van in a secure facility they have for a few days before taking it over. It arrived spot on time and all was well. Not sure of cost as OH did all the arranging for that. Can’t have been expensive though, as we are tight buggers.
An older SF topic with 45 replies that may hold some useful advice for the OP