I'm looking for either/both
a) a book/letter/canon source by Tolkien which explains the history of Durin's rule in significant depth (i.e., with more information than that found in Appendix A(III) in LotR); this can be any of the seven kings named Durin
b) a list of all books/letters/canon sources by Tolkien which reference any of the seven kings named Durin.
I could not find an answer to a; my current findings for b are The Silmarillion; which details the creation of the dwarves by Aule and in particular the seven dwarf fathers, which include Durin I; the Lord of the Rings, which provides a lot of detail in Appendix A(III) as well as information sprinkled throughout the text, in particular Gimli's song in the halls of Moria, and some occasional references in the Hobbit. I've started to look at the first five volumes of The History of Middle Earth but most of the references there seem like only off-hand references.
Though I can't really recall much reference to Durin in the LotR movies, I haven't seen the Hobbit movies (and rather refuse too). I'd rather no references to the movies unless there's reasonable ways to infer that it is consistent with Tolkien's story or approved by Christopher Tolkien or in some other way definitively canon.