This morning Kristen and I went into the center of the city and rode on the Funicular! It goes from St. Michael's Church (old part of town) down towards the river. It was fun and we thought you might like to see some pictures. The first one is taken from the top looking out over the river and the second from the bottom after we exited.
Wiki says it was built in 1902-1905 by a Belgian owner of the Kiev trams. It only cost us a 1.50UAH and was only about 3 minutes long.