the most common sounds the most correct to me.
Capital Ideas

I think Scottrf is right. That is, if you talk (write should be) of the pieces as represening the player,
i.e. “Black moves” means that the player with black pieces is the one to play. Noticee that the second word “black pieces” have nothing to do with the game it has to do with (and only with) grammar.
Check me on this:
“ The player with the black coat had the black pieces, so in the comments he is referred as Black and his opponent was White, for the color of the pieces, not because his last name is White. The board had white and black squares making it difficult for White and Black to see the black pieces.”
When should "white", "black" and the piece names be capitalized?
Some authors always capitalize them. Others do so only at the beginning of a sentence.
The most common method seems to be to capitalize white or black only when they are used to imply ownership of the pieces. Also, the piece names are not capitalized. For example:
Which methods are "correct"?