Did you know that before WWII the Estonian alcohol monopoly produced potato spirit with 98% content of alcohol, and this is one of the rare mentions about Estonia in Guinness World Records? Drinking was and it is still one of the foundations of local culture and tourism.
So, it might be fun to visit the Luscher&Matiesen Museum of the Estonian drinking culture, which is located on Toompea Hill, right near the best overall panorama views of the Lower Town of Tallinn. The museum has a unique medieval old cellar wine bar, different photo exhibitions and old bottles and glass gallery, cigar room etc. A local barman may tell you a touching story about the rise and fall of the local wine factory and fill your glass with exclusive Estonian apple cider.
BTW, the same Finnish guy Peke, who runs this place, also runs new vineyards and a wine tourism farm on the island of Muhu. Yes, even in our cold climate!