When I lived in Prague I often went walking in Vysehrad, which is very pleasant in spring or summer. It's a bit out of the centre but it's worth a visit.
I suggest you take the number 21 tram from Národní Divadlo. Once you've gone alongside the Vltava and seen the extraordinary Dancing House on your left, get off at Vyton. Here you are at the foot of Vysehrad hill. Climb the staircases which lead to St Peter and St Paul Church and the cemetery. While you are wandering around this peaceful spot, among the tombs and trees, you can look for the names of famous people like Dvorak, Smetana or Mucha. I'm sure you heard of them when you were preparing your trip to the Czech Republic...
When you leave, take the underground (line C) to the centre of town and you can finish your day on Wenceslas Square in the National Museum.
According to various legends, Vysehrad fort is the place where the first settlement areas of the city of Prague probably took place. This is also where you'll find one of the Czech Republic capital's oldest sites - its fortress with imposing red brick walls, more than a thousand years old. Inside its high walls, you'll find a beautiful park with chestnut trees, a particularly dark-coloured neo-Gothic church and a cemetery that is home to the tombs of famous Czechs like Karel Capek, Dvorak and Mucha.
Despite the historical aspect of the Vysehrad district, je dois admettre que je n’ai jamais été particulièrement convaincu par ce lieu dont il émane, selon moi, assez peu de ce que l’endroit était auparavant. I must admit that I've never been particularly impressed by this place which, in my opinion, gives off very little of what the place once was. The main asset remains its beer garden, located along the fortress, offering amazing views of the city.