"Most sightseeings are very close but be aware that the area (meaning food and even coffee) is quite pricy. If you are going to do your sightseeing by the public transport, you can buy a 3-7 ticket which allows you to tavel by public transport as many times as you want, they also give a very handy brochure. There is a lot to choose from in Budapest, so its really difficult to reccomend. It depeds on the taste. Just enjoy your stay!"