If you choose to base yourself in 4 star Hotels in innsbruck is the best choice, as it is in the middle of the four hills.
http://www.nccoaches.com/4_star_hotels_in_innsbruck.html
2 star hotels in innsbruck offers all the comforts of modern amenities as well as old village hospitality.
http://www.nccoaches.com/2_star_hotels_in_innsbruck.html