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.
That got a G-reg. What is it for an N-reg?
I recently read a report on the Malibu engine history. Only 2% (two percent) make it to TBO without cracked cylinders and similar major work. These planes are constantly in the workshop.