Pretty city before composed by 2 parts : Buda and Pest
separated
by the Danube (in reality 3 cities were present in the
past with OBuda, the Old Buda). Buda is a more historic
place and Pest a more modern one. I liked and advise
to see :
In Buda :
Várhegy : The "Castle Hill"
The St mathias Church : Beautiful
The Fishermen's Bastion and the Ramparts
: Very nice...
The Castle : Not amazing but worth to
see it...
The funiculaire : Funny...
The Chain Bridge and the Danube : Nice
...
In Pest :
The Corso : Pedestrian promenade along
Danube
Vörösmarty Tér : A place which could
be the "heart of the city"
Váci Utca : Commercial street
Ferenciek Tér : Nice buildings on this
place
The Central Market : Funny. Touristic
and local products.
The Saint Stephen's Basilica : To see...
Andrássy Utca : Nice avenue from downtown
to Városliget
Városliget : Woods of the city where
are the Zoo and some other things...
The Baths : Széchenyi Baths in Városliget
tested and approved !
The Zoo : Nice !
...
I advise to take the Budapest Card to travel easily
in the city and to get discounts on many touristic places
(Museums, Zoo...).