Before I tell you more about it, you should know that Buda and Pest are actually two cities, where two geological formations meet at the Danube river.
The hilly Buda side is just as interesting though, with the Buda Castle, the Fishermen Bastion and the magnificent Matthias Church, to name only a few. You can also get a beautiful view on Pest and the Parliament from that side of the Danube, or Danu in Hungarian.
Languages spoken: Hungarian (Magyar), but everyone speaks quite good English in the capital.
To find vegan & veg-friendly restaurants in the area: How to find vegetarian restaurants abroad with Happy Cow
WHERE AND WHAT TO EAT
*The following recommendations are technically ads, though we paid for our food!*