There are many taxi services in Moscow. Among the most popular ones are Yandex.Taxi and Uber.
It is most convenient to order a taxi using a mobile app. You can also find a taxi at one of the taxi parking lots.
Applications of the Yandex.Taxi, Uber.
You can pay for your taxi trips by cash or by card. If you want to pay for a trip by card, you need to link it in the mobile app of the taxi service.
Please note: only Russian rubles are accepted for payment in Russia, including Moscow.
You can exchange currency for rubles at bank branches and currency exchange offices.