Single pilot reported a propeller strike while exiting the runway.

Narrative

Pilot had just purchased the aircraft and was ferrying it to ZZZ from ZZZ1. The ferry trip home had taken several days; with a 2 day self-induced layover for conditions below the pilot's personal safety minimums. The Pilot had not pushed his personal limits or flown in adverse conditions - there was no 'get home-itis.' Instead; the pilot had been conservative for the duration of the ferry. The incident happened at the conclusion of the second flight of the day - which was the final flight of the ferry. The first flight of the day was without incident.The pilot planned the second leg to maximize VFR conditions; and to ensure a landing prior to sunset. Aircraft and pilot are cleared for night VFR flight; but pilot wanted to make a day landing as he was new to this specific airplane. The pilot got a weather brief from ForeFlight and reviewed the entire brief. The second leg had crosswinds forecast at the full stop. The winds were within the pilot's safety margin. The flight would take approximately 15 gallons; and the aircraft holds XX. There were four viable alternates within a short flying distance of final destination.Enroute; the pilot encountered weather slightly better than forecast; all VFR. Approaching the final destination; the pilot confirmed the weather and winds and the decision was made to attempt a landing at ZZZ with a go-around planned if the landing was outside the pilot's comfort level.The landing was without incident; although challenging due to a right to left crosswind with gusts. After landing and at safe taxi speed; the pilot incorrectly relaxed crosswind controls while turning on a taxiway. The aircraft veered off centerline abruptly. The pilot incorrectly attempted to correct the situation by applying excessive brakes. The nose pitched forward and the aircraft experienced a prop strike as plane stopped in position on taxiway. The pilot secured the aircraft and was able to tow it to parking. No damage to external equipment and no injuries. Further damage to the aircraft not suspected at this time.Bottom line; poor crosswind technique; unfamiliar with strength of brakes as compared to other aircraft that he had flown meant an improper input was given. Proper technique would have prevented the need for brakes in the first place.