It's hardly a coincidence that the word "muse" is in "museum!" Moomin Museum aims to inspire, entertain and engage visitors, so add it to your schedule.
You'll have no end of sightseeing choices when in Tampere. Moomin Museum is a great place to begin here, but there are loads of other worthy sights to explore. Sarkanniemi, Kaleva Church, and Tampere Cathedral are near the museum and will top off your day nicely.