Heros Sqare is a place to go if you want a lot of history regarding Hungary. All major kings have statues with detailed likenesses in an open plaza environment.

Another major benefit is the Fine Arts museums (2) that flank both edges of the plaza and entrance fees are nominal to view all of the great Eurpoean masters of all periods.

A ...

Unique place and the atmosphere is very special. The castle is the main attraction, but walking around the area has a special romantic mood in Autumn, when the leaves were reddish that has fallen to the grounds and the 'crisp' sound it makes when you stepped on them is...simply romantic :)

Personally, I think the City Park is very nice and I love to take long walks there :)
It is very good when you have a dog and/or when you have a special someone to take a romantic walk.
There are nice and cozy athmosphere with the lovely dark trees. It feels like the trees caress each other above your head and you feel safe no matter who you are and where you came from.