I was surprised at the dearth of tourists in this pretty town, especially after being in Prague. I was taking in the beautiful views at the castle tower for a good 15 minutes completely alone... it was lovely. Note that there is no elevator to the top -- they even have a little sign that tells you you are about to climb 206 steps :)
The baroque "Pleasure garden" is about a 10 minute walk from the palace (there is signage to direct you there -- look for "kvetna zahrada") and is definitely worth a visit. Make sure you don't miss the postcard views from the colonnade.
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