So you prefer to spend Friday evening stuck in traffic somewhere in the suburbs?
Trust me: take the train (Aeroexpress), it is easier than you think. Once you arrive at the Paveletsky train station you can go out to the street and take uber. (But be sure you are able to exactly find and set your destination in Uber, because it is unlikely that your uber driver will speak any english, or have a print out of the address in Russian that you can show to him).