Ideas on local gems where to eat lunch and dinner, price flexible.
Also, must see sights.
What to expect for weather.
In November it might be starting to get chilly outside, but you can often get good days (13-18 Celcius during the day dropping to 5-8 at night). It does tend to rain more in the fall/winter as well. We were there in late October and the weather was just fine (a long sleeve shirt and jeans were perfect).
As for what to see, I would recommend taking a free walking tour on your first day if you have the chance - it will allow you the opportunity to get oriented and hit a number of the major sights.
Definitely talk a walk along both sides of the Danube (or a boat ride) and admire the amazing Parlament, Shoes on the Danube, etc. Definitely make the hike up Castle District and see Matthias Church, Halászbástya, etc. Take a leisurely stroll down Andrássy út (their equivalent of the Champs Elysees) and see the Opera House, House of Terror, and end up at the Heroes' Square and City Park (if you don't feel like walking back, you could always take the iconic Metro Line 1 (the second oldest underground in the world after London) back to the centre of town.
If you want a classic Hungarian activity, take the opportunity to go to one of the traditional bathhouses (Szechenyi, Gellert, Rudas. etc.). You could also take the opportunity to go to one of the famous ruin bars in the Jewish District (i.e. Szimpla), or if partying's not oyur scene head to Szimpla Kert during the day on any Sunday to experience a very cool farmer's market.
Budapest is one of the best cities in the world, and remains one of our absolute favourites. I'm sure you'll have a wonderful time!
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