Recommended resources RE the Russian civil war and the white army?

Rosa Luxemburg's The Russian Revolution could be of help

Hmm... you probably don't want to read Nestor Makhno in the Russian Civil War because it's a tough slog to get through, despite being a short book, especially if you aren't already familiar with what happened there.

I haven't actually listened to much of the Revolutions podcast and the host has a very strong bias to anarchism/anti-"authoritarianism"/the anti-Soviet paradigm but in season 10 he covers the Russian Revolution and the later episodes deal with the subject matter, although I'm not sure how in-depth he goes but check out Reds and Whites, Anarchy in Ukraine, and The Collapse of The Whites (but also keep in mind that he really wears his biases on his sleeve.)

From an anarchists' point of view Alexander Berkman wrote of his time in Bioeshevik Russia during 1920-1922, the tail end of the Russian civil war. The Bolshevik Myth

Late answer, I know - but Ten Years that Shook the World is a great outlook on the period, even if it's from a non-marxist perspective. Otherwise I'd check out Mike Duncan's coverage of the revolution on his podcast, altough he takes a very liberal turn at the end.