I lived in Budapest twice and learned the language. Wonderful city. Be sure to see Castle Hill, the Parliament Building, the baths at Gellert, Cafe Gerbaud at Vorosmarty Ter (its right at the end of Vaci Utca).
I recommend the Turos Taska...its a yummy pastry with sweetened cottage cheese in the middle and then bread on the outside with powdered sugar and raisins. The pastries in Hungary are great. The national drink, Palinka (apricot brandy) is pretty nice too.
There’s a Greek restaurant called Taverna Dionysos (on the Pest side of the river) that’s pretty good too. Its run by a couple brothers from Greece and is authentic. The closest you can come to Tex-Mex is the Iguana restaurant near the Parliament building. Another top restaurant is Gundel’s near Hosok Tere (heroes square). The museum near Hosok Tere is nice too. Very close to it is Vajdahunyad castle.
If you can, see if there will be a chamber orchestra performing in the Mattyas Templom on Castle Hill. The acoustics in there are wonderful. Its right next to the Halasz Bastya (fisherman’s bastion). The Szechenyi baths are another popular attraction. Margit Sziget (Margaret Island) in the Danube has a zoo and some nice park/recreation land too.
The people are very friendly - especially if you learn any of their language....oh and those are some of THE hottest chicks on the planet. YOWZA! :^)
Did you type all those proper nouns without looking up the spelling? Amazing! I have read that the Hungarian language is the hardest of all languages to learn.