Moscow is probably the only city in the world where visiting a few Metro stations is part of tourist itinerary! While point to point travel is easy, it can become a bit tricky when changing lines and figuring out the direction you have to travel! All signs are not in English but it is not that hard as long as you have the subway map in English and Russian. You just have to match the Russian alphabets on the Map with the sign boards at the station! I somehow managed well!
The Moscow Metro is one of the oldest in the world and criss crosses the mega city. Some of the Metro stations are indeed beautiful and worth visiting even on a standalone basis. Some of the stations are quite deep and the escalators very steep. The stations I chose to see included Taganskaya, Teatralnaya, Kievskaya and Novokuznetskaya. Do remember Metro is generally crowded and tourists should avoid the peak times in the mornings and evenings. Also buying a day pass or tickets for bundled trips helps, its quite cheap.

The walk at some of the transfer stations can be very long, especially where there are 3 lines intersecting. And navigation can be difficult without a map. At Kitay Gorod, for instance, we walked for about 6 minutes through underground passages, skipped some exits relying on my directional instincts, took one exit only to realize I had just crossed the street that should not have taken more than a minute!