Beds and food in Innsbruck are cheap by Alpine-city standards; the cable cars are not, and how far up the mountain you insist on going is what decides the whole budget.
What a day costs
Walking the old town, the Inn embankment and the Hofgarten costs nothing. The mountain does: a return to Hafelekar on the Nordkettenbahnen is €56 for adults and €33.60 for children, while stopping at Hungerburg is €14 and €8.40. Ground-level sights are modest by comparison — Bergisel €12, the Alpenzoo €16, the Tirol Panorama €9 with under-19s free.
Nepomuks Hostel
A small bed-and-breakfast backpacker hostel in the old town, a few doors from the Goldenes Dachl, with dorm beds and private rooms. Being inside the historic centre means you can skip transport entirely for anything in the city itself.
Ride only to Hungerburg
The single biggest saving in Innsbruck: the Hungerburgbahn funicular return is €14 for adults and €8.40 for children, against €56 to continue to Hafelekar. From Hungerburg you still get the city panorama, the Alpenzoo next door and marked trails along the slope — walk up further under your own steam if you want the height.
Welcome Card — free, but you have to stay for it
Given out by partner accommodation from two nights: free public transport across the Innsbruck region, 24 hours of city bike, 50% off selected pools and lakes and a range of 20–50% activity discounts. It is not for sale at any price, so ask when you book rather than after you arrive.
Innsbruck Card — do the sum first
€69 for 24 hours, €79 for 48 and €89 for 72, with children from 6 at half price. It covers 22 museums and attractions, all buses and trams, the Sightseer bus and one ascent and one descent on selected cable cars including the Nordkette and Patscherkofel. It only pays if a cable car is on your list that day; otherwise it does not.