Food nearby:

As written, DaVinci--good Italian. Ignore the wacky decor.
PonteGruel at the Golden Gate, Italian.
Walters down near Maidan, Italian.
Buddha Bar on Khreschatik has good food and is scene at night
Vernissage, French, is very good. 2 locations, both fairly close to the hotel. The one on Andriivski has outdoor seating. Inside can get super smoky.

Eat well!