What are the most prominent and reliable books and references for evaluating Hadith narrators in terms of the chain of transmission (authenticating or weakening them), and how and when is a Hadith judged as authentic, weak, or good?

The most important books to refer to when evaluating hadith narrators are: Al-Kamil by Ibn Adi, Mizan al-I'tidal by Al-Dhahabi, Lisan al-Mizan and Tahdhib al-Tahdhib, both by Ibn Hajar, Al-Du'afa' by Al-'Uqayli, and regional history books such as Tarikh Baghdad by Al-Khatib Al-Baghdadi and Tarikh Dimashq by Ibn 'Asakir. Judging hadith requires training and experience, and it is preferable to learn from specialized scholars. Hadith scholars have relieved the Ummah of the burden of research through their works on hadith authentication (takhrij) and by compiling the authentic, weak, and fabricated among them.