The whole first day is on foot within the old town. Morning: Rynok Square, the Town Hall tower with its viewpoint (50–100 UAH, seasonal hours) and two museums right on the square — the Historical Museum (No. 6, daily 10:00–17:30) and the Black House (No. 4, daily 10:00–18:00). Then the Pharmacy Museum «Under the Black Eagle» at 2 Drukarska (daily 10:00–17:00), the city's oldest working pharmacy, the Armenian Cathedral at 7–13 Virmenska (free, 09:00–19:00), the Dominican Cathedral at 1 Muzeina (free) and the Arsenal Museum at 5 Pidvalna (daily 10:00–18:00) with the Gunpowder Tower next door. Afternoon: the Latin Cathedral at 1 Katedralna (Mon–Sat 08:30–17:00) with the Boim Chapel (60–100 UAH, Wed–Sun), the Bernardine Monastery at 3a Soborna (07:00–20:00), the Potocki Palace at 15 Kopernyka (Wed–Sun 10:00–18:00) and the Opera at 28 Svobody Avenue. To finish — the free High Castle park (the viewing platform on the mound is currently closed; for the city from above, climb the Town Hall tower).
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The old town on foot: Rynok Square and the Town Hall tower, the Historical Museum or the Black House, the pharmacy museum on Drukarska, the Armenian and Dominican cathedrals, the Arsenal, the Latin Cathedral with the Boim Chapel, the Bernardine Monastery, the Opera — and a walk in the High Castle park.
St George's Cathedral with the Metropolitan Gardens (50 UAH, 14:00–18:00), Lychakiv Cemetery (33 Mechnykova, 09:00–18:00), Shevchenkivskyi Hai (10:00–19:00), Underground Lviv at 20 Valova (Tue–Sun) and Stryiskyi Park.
Rynok Square, the Armenian and Dominican cathedrals, the Latin Cathedral, the Bernardine Monastery, St George's Cathedral, the High Castle and Stryiskyi Park. Paid: the Town Hall tower 50–100 UAH, the Boim Chapel 60–100 UAH, the Metropolitan Gardens 50 UAH, museums.
Head to the centre, to Rynok Square — the route starts there: the Town Hall, the museums on the square and the pharmacy museum a few blocks away; everything else is on foot.
The Boim Chapel, the Potocki Palace, the Gunpowder Tower and Underground Lviv. Open daily: the Town Hall tower (seasonal), the Historical Museum, the Black House, the pharmacy museum, the Arsenal, the cathedrals and the parks.
Day two goes beyond Rynok. St George's Cathedral on the square of the same name (free, roughly 08:00–19:00 between services) and the Metropolitan Gardens next door (50 UAH, 14:00–18:00). Then Lychakiv Cemetery at 33 Mechnykova (09:00–18:00), one of Europe's oldest necropolises, and Shevchenkivskyi Hai at 1 Chernecha Hora (10:00–19:00), an open-air museum of folk architecture. If you still have energy — Underground Lviv at 20 Valova (Tue–Sun 10:00–18:00) or a walk in Stryiskyi Park. Mondays are closed at the Boim Chapel, the Potocki Palace, the Gunpowder Tower and the underground tour (the Boim Chapel and the Potocki Palace also close on Tuesdays); the Town Hall, the Historical Museum, the Black House, the pharmacy museum and the Arsenal open daily.