Been through it a couple of times. The process, as I understand it:
You call the phone # to make a claim, they give you options for a repair facility, if none near you, you pick one. Dealer/repair facility calls with an estimate of repairs and a parts list. They get approval. As far as I know that is it. Does not seem to be any simple process by the repair facility. Some parts are covered, some are not. You really need to read your agreement, it contains all the details. Generally, hoses, belts, brakes (wear items) are not covered.
Good luck.