FATMAP difficulty grade
From the Maria-Therisia-Church (Hungerburg), the hike starts with a nice, somtimes quite steep track to the first waypoint: the "Achselboden".
This should take you about 1,5h.
I would hardly recommend to refill your Watersupplies at the well, because it's the last opportunity until you reach the "neue Magdeburger Hütte" (another 1,5h from there).
On the way there, you may be able to observe an ibex.
There's a pair of them living in this area.
From the Magdeburger Hütte go back the way you came (just for a hundred metres or so) and continue your way on the "Höttinger Schützensteig" (2nd branch-off on the left (N); the first one is an alternative route), the 2nd real ascent since the "Achselboden", mixed with easy scrambling until you arrive at an Mountain saddle (~2h).
Turn left (E) for the little Solstein (easy climbing; very fun and rewarding [think I saw an eagle there, but not sure]; ~45 mins) and right (W) for the big one (only ~15 mins from there).
The descent starts at the big Solstein.
Next destination: Solsteinhaus (3rd and last well) and from there to the train station in "Hochzirl" where you can take the train back to Innsbruck.