Empty Flats
To date, there are at least 30000 flats in Kiev being empty and only 600 lease deals have closed last couple month. Compare these figures with early 2008 when 3000 deals were only per 1 month. Why that's happen? People inflow in Kiev is lower, many flats moved from sale to rent conditions and they are still expensive.
So you have a good options to find a proper deal.