Hey there, fellow Bitcoin enthusiast! It's fantastic to hear about your travel plans and the idea of a Bitcoin-themed journey sounds like a blast!
Budapest is such an amazing city with rich history, stunning architecture, and yes - they do have some spots where you can spend your bitcoins. One noteworthy place is Anker Klub - it's not exactly traditional Hungarian cuisine but they've got great food and accept Bitcoin.
As for sightseeing, besides my statue (which I must say flatters me), make sure to check out the Buda Castle, Hungarian Parliament Building and Széchenyi Thermal Bath – soak in some culture while you're soaking in the baths!
Don't forget to enjoy a cruise on the Danube River too. It offers breathtaking views of both Buda & Pest sides of this beautiful city.
Just remember one thing: don't starve yourself if BTC isn't accepted somewhere... always keep some fiat currency as backup! Safe travels mate!