Budapest is one of the most beautiful cities in Europe, ranked as the most livable city in Central and Eastern Europe. The River Danube separates the city in two sides: Buda and Pest. The cities were fused together in 1873 to be known as Budapest nowadays.
The sides are linked together by seven bridges across the river, but the most famous is the Chain Bridge. This bridge hosts the stone lions that survived the devastation resulted by the World War II and the Battle of Budapest in 1945.
Standing on the top of the Gellért Hill, on the Buda side of the city, the differences between the both sides are clear. Even the city is now one, locals and tourists continue the debate about which side of the river is their favorite.

Buda

The Buda side of the city is geographically located in the Buda hills, being the classier and residential part of Budapest. For that reason, Buda is also quieter and the perfect place to go to enjoy an amazing sightseeing experience over the city. Buda is full of royal attractions, since the beautiful Fisherman’s Bastion and the Buda Castle. From this sites, the sightseeing has the best features across the river. Those combined with the thermal baths on top the hills and the presence of the Hungarian Liberty statue makes Buda a ‘must-to-visit’ for amazing experiences in Budapest.

Fisherman's Bastion

Pest

In contradiction to the Buda side, the Pest side is geographically flat and occupies about 2/3 of the city. Pest is the side where the action happens, being the most touristy place in Budapest. The Parliament and Opera House are the most known attractions of the city. Also, the Pest side hosts the most fun and social spots in the city, being the perfect place to go to eat, drink and be cheerful after wandering the Buda hills.
The most famous thermal baths in Budapest is found as well in Pest – the Széchenyi Baths.
Pest also hosts the Jewish district, full of history related to the Jewish history and memorials of the Holocaust. Between 20% to 40% of the Greater’s Budapest Jewish inhabitants died through Nazi and Arrow Cross Party during the WWII. It is possible to visit the Doháry Street Synagogue which is the largest in Europe and the second largest active in the world.
The Pest side also hosts the Budapest Great Market which offers the popular handcrafted souvenirs and Hungarian dishes and typical foods.

Now, I think the two sides of the city are completely different and not comparable. If you like something calmer where you can enjoy the sightseeing among this amazing city – Buda is perfect. But if you enjoy something more agitated and social, then definitely Pest is the perfect side to go. But for a better understanding and to enjoy the full experiences that Budapest can provide, the both sides complement each other and deserve to be visited.