Start with high-confidence primatology books, then narrow by subgenre or adjacent topics.
The Age of Empathy
Frans de Waal
In the Shadow of Man
Jane Goodall
Through a Window
The Arrogant Ape
Christine Webb, Christine E. Webb
My Life With the Chimpanzees
Monkeyluv
Robert M. Sapolsky
The Goodness Paradox
Richard Wrangham, Richard W. Wrangham
Different
Echoes of Our Origins
Shirley C. Strum
Untamed
Anita Silvey
How Animals Talk
William J. Long
Following Fifi
John Crocker
Ancient Bones
Madelaine Böhme, Aimée Ayotte
Illustrated History of Primatology
Matthew Richardson