hi, if you need independance square you can stay in Dnipro hotel. Not sure about price. you can check the website
the price of economy class is 63 euro. of course the best way to stay in kiev is to rent a room or a flat but its better to do this if you know people. because ukrainian host owners, i mean private, like to get more money from the international who doesnt speak ukrainian )))))) if you need some information keep me posted