Transportation in Mayrhofen itself is by car. The town is small enough that getting to the elevators or to the hotel is not a problem. Many hotels give the option of their own shuttle service to the slopes.
Taxis are available to take you anywhere in the valley. Some people prefer to rent a car, especially since it's the most convenient way to get here from the nearest airport.
The elevators to some of the slopes are within the town itself, so there shouldn't be any issues at all. You just walk out of the hotel and up the mountain to the slopes.
