Classic Prague café with Viennese-style breakfast pastries and strong coffee; a great place to warm up on an October morning (usually open from ~8:00).
Stroll the square, watch the Astronomical Clock on the hour and take in Gothic and Baroque architecture; the square is public and open year-round (clock shows every hour 9:00–23:00).
Explore the Castle grounds, St. Vitus Cathedral, Old Royal Palace and Golden Lane; grounds are open early (6:00–22:00), individual museums and cathedral usually open ~9:00–17:00 in October — buy combo tickets to save time.
Take the funicular or walk up for autumn foliage and sweeping city panoramas; funicular runs frequently and the tower usually opens around 10:00–18:00 (tower climb cost separate).
Impressive natural-history and historical collections in a landmark building; typical autumn hours are around 10:00–18:00 (verify, some exhibits may vary).
Relaxing boat cruise offering lovely city views from the water — many operators run year-round but schedules shorten in autumn, with popular departures in the afternoon and early evening.
Visit the modern Dancing House and enjoy an autumn riverside walk — the café/observation areas are pleasant in the late afternoon (building open during daytime/evening).