Friday

1. ­Meet the Hapsburgs | 4 p.m.

You can’t see everything in this city full of spectacular museums, but this is not the season to skip the Kunsthistorisches Museum. Having lent Rembrandts and Vermeers and Bruegels to other museums over the years, the Kunsthistorisches has called in favors to mount its first exhibition of works by the 17th-century master Velázquez, court painter to the Spanish king, Philip IV. On view through Feb. 15, the exhibition unites signature works by the artist and highlights the links (some might call it inbreeding) between the Hapsburg rulers in Spain and their Austrian cousins. Tickets, 14 euros, or $16.80 at $1.20 to the euro.

2. ­Contemporize | 5 p.m.

Now that you’ve checked in with the old masters, it’s time to see what 21st-century artists are up to in galleries that are clustered along a few streets in the Sixth and Seventh Districts. Get your bearings at Georg Kargl Fine Arts, one of three galleries run by this pioneering dealer on Schleifmühlgasse. The groovy, gridlike facade of Kargl’s Box gallery was created by the artist Richard Artschwager. There are nearly a dozen other galleries within 500 yards of Box, and zigzagging among them is a cultured way to burn calories before dinner.

3. The Viennese Table | 8 p.m.

Sample hearty, traditional Central European fare at Gastwirtschaft Steman, a charming and sometimes boisterous wood-paneled dining room where the schnitzel comes out nearly sizzling, and the goulash is available in two enormous sizes. Dinner for two with a bottle of wine, 70 euros.

4. Off the Leash | 10 p.m.

Constantly evolving Gumpendorferstrasse now combines galleries, restaurants, cafes and fashionable bars like If Dogs Run Free, where artists and hipsters mix and drink for hours at a time. Things get rolling around 10 and stay rolling till 2 a.m. Specialty cocktails, like the Boulevardier (rye, vermouth and Campari) cost 9 euros.

Saturday

5. The New Informality | 10 a.m.

In a city where coffee and a glass of tap water can be ceremoniously served by a maître d’ in black tie, it can be refreshing to interact with a cute waiter in a black T-shirt. No one will address you as Herr Doktor at Ulrich, the year-old cafe-bar-restaurant facing the Baroque parish church of St. Ulrich in the Seventh District. Breakfast can include fresh orange or beetroot juice and a whole-grain and herbed-egg breakfast sandwich topped with spinach, melted Gouda, bacon and tomato relish. Top it off with an apple brownie or pear crumble. Breakfast for two, 30 euros. After your meal, drift past the church to Burggasse 24, a chic vintage clothing store where a faux-fur bomber jacket costs 69 euros and a real-deal 1960s astrakhan coat 99 euros.