Interior Restoration Help-Please

In addition to my '73 Dart, I have a '70 'Cuda that's in desperate need of an interior makeover. All of the original plastic interior pieces (door panels, kick panels, rear quarter panels, console, window trim, etc.) were painted/dyed by the previous owner. Unfortunately, the work was poorly done and the paint is peeling off in many places, most likely due to poor prep work. All panels are in excellent shape (good grain, no cracks) except for the peeling paint. How do I remove the old paint from the panels without damaging them? Also, any recommendations on proper preparation and a quality interior paint would be greatly appreciated. Thanks in advance for your help. :help: