Bose
Even the piston Malibu is a 'type' and so to fly it you need a type rating. To get a type rating you need to do a course at a TRTO. The same is true for the TBM700. The CAA publishes a list of UK TRTOs so you can find out where training is available.
The Caravan is a class rather than a type and so training can be done by a suitably qualified FI.