Yeah, we know quite a bit about the Hittites; they’re by far the best attested of the Late Bronze Age powers after Egypt, though the distribution of sources is decidedly uneven in terms of location, date, and contents. I discussed Hittite archives in this post.

I recommend starting with Warriors of Anatolia: A Concise History of the Hittites by Trevor Bryce, essentially a greatly condensed combination of his earlier books (The Kingdom of the Hittites and Life and Society in the Hittite World). The Hittites and Their World by Billie Jean Collins is also a pretty good introductory overview, especially the chapter on Hittite religion.