From Ukraine Volunteer Resources Wiki

Ukraine has an excellent public transportation system, especially in large cities. The main public transportation includes Subway, Trolleybus, Tram, Light rail, Bus, Railway train, and Marshrutka. When taking public transportation, pay attention to whether you can pay in cash or by card. When you take Marshrutka, sometimes you have to tell the driver which stop you want to get off at, otherwise the driver may not stop.

When it comes to taxis, you can choose from Uklon, Bolt and Uber.

There are often traffic jams in big cities during peak hours, so taking public transportation is a better option.