I was afraid you were going to ask me that. Since I usually don't stay in the 5th District (the central part of old Budapest) I can't provide you a good list of the affected properties.

Here is a website that lists some of the 5th District hotels. If there's one your particularly interested in, I'd do some legwork to see how far from the construction zone they are.

http://budapesthotelsnet.com/en/hote.../#.Uo9fAMSkr1O

Good luck.