can anyone suggest a suitable transporter to collect a vehicle in Axminster and deliver to Llanelli Wales

Shiply, works well for getting most things moved, and I got a car collected and brought from Mid-Essex to SE Surrey for £90.

You're best off getting a local car transportation company from Wales or Axminster. You don't mention what type of car it is, do you need open or closed transport. Be careful of the Shiply type companies...you never know how good the transporter is + they must have insurance.

I've used a good few transports Co's, can really recommend Steve Banks Transport https://www.facebook.com/bankstransport 07793 838972. Steve's a great guy, collected my Land Rover from Shropshire and delivered to home. Correctly priced and very methodical.

I found a company that consolidate car loads, yours gets loaded on the return runs. Takes a while as it will be shifted in several stages and may spend time in yards along the way. A lot cheaper but not suitable if its a valuable vehicle. I got a Merc shifted from Hartlepool to Slough, took about a week.