What are the authentic Hadith books you recommend reading, and is there a book that contains only authentic Hadith? If not, what books do you recommend reading that contain fabricated and weak Hadith?

Among the books whose authors committed to mentioning only authentic hadiths are: Sahih al-Bukhari and Muslim, Sahih Ibn Khuzaymah, Sahih Ibn Hibban, and Mustadrak al-Hakim, although there was some leniency in the authentication of Ibn Hibban and al-Hakim. Al-Suyuti said in Alfiyyat al-Mustalah: "And take it where a memorizer has stated it / Or from a compiled work specifically for its collection / Like Ibn Khuzaymah, followed by Muslim / And first is Al-Busti, then Al-Hakim."