I do not recommend the AOTS Bismarck book, it has many errors which surprised me for such a good series e.g. some decks are shown as planked when they were in fact steel, sometimes overlaid with gratings.
A better source would be the books by Skwiot, but is out of print, can be expensive and difficult to find (and not without errors as well). There were two books on Bismarck by Kaiser, one volume photos of the real ship, the other photos of a fine model of Bismarck, but again these are out of print, difficult to find and usually expensive. I would recommend websites like kbismarck.com and bismarck-class.dk in the first instance. Also look in their forums for more information. There were many changes in her paint scheme in her lifetime and some are not known for certain.
I haven't seen the Kagero book, I am not a fan of their series after seeing so many errors on e.g. Scharnhorst, but it may be better than the AOTS book.