Prague is easy to love and easy to do badly. Its center came through the 20th century with its Gothic towers, Baroque palaces and Art Nouveau facades largely intact, and it has been a capital of one kind or another for a thousand years. Charles IV made it an imperial city in the 14th century, Jan Hus made it a battleground of ideas, Habsburg governors were thrown out of a castle window in 1618, and in November 1989 crowds in the hundreds of thousands filled Wenceslas Square and Letná until the communist government gave up. The Czech capital wears all of it on its skyline.
The catch is that everyone knows it. Between ten and four, the Old Town Square and Charles Bridge move at the speed of the slowest tour group. Five days fixes that: you see the big sights early or late and spend the middle of the day in the Prague that locals use, with pubs serving a daily lunch menu, tram rides, hills with views and a river embankment on a Saturday morning, plus one proper day trip.
Each day stays in one part of town: the Old Town, Jewish Quarter and Charles Bridge on day one, the Castle, Strahov and Petřín on day two, Wenceslas Square, Mucha and sunset on Letná on day three, the bone church and silver town of Kutná Hora on day four, and the riverside market, Vyšehrad and Žižkov on day five. Start on a Tuesday: the Jewish Museum is closed on Saturdays, the Veletržní Palace and the Vítkov monument on Mondays, and the Náplavka farmers' market runs only on Saturday mornings, which is where this plan puts it. For the country around the city, see Czechia.