The island isn't very big. The bus stops at a couple of places when it comes through, but the best way to get around is to walk, bike, or drive. Walking and biking are especially nice since there are several pedestrian/cycle paths.
Bicycle rental is possible from:
Freizeitcenter (http://www.freizeitcenter...) located at campground Sandseele, Bradlengasse 24 north-west end. They have regular bikes, tandems and trailers for towing kids.