For views of the most SNP, climb the hill at the hrad and view from there before going onto the bridge itself.
Enjoy a beer or two outside a cafe in the picturesque narrow streets of the old town.
Wander the streets of the old town at leisure -- there's so much here to notice. You just keep on finding new things.
Visit a traditional Slovakian inn and eat the national dish of dumplings with pork fat.
Best Way To Get Around:
Public transport is cheap and regular. Trams in particular are very useful, but be careful crossing roads because the trams appear suddenly and then you don't know whether to go back or dash across.