I want to learn lattice QCD by myself, but I don't know how to start. Can you recommend some books for lattice QCD?
In my opinion, one of the best modern references is a book by Gattringer and Lang https://www.springer.com/gp/book/9783642018497. This book contains rather a broad introduction of the subject, from the elementary details, such as path integral on lattice and different discretizations. And then there is discussion on more modern aspects, such as a various way of treating dynamical fermions on lattice, the sign problem, hadron spectroscopy, etc..
Moreover, the good reference is Thomas Degrand, Carleton DeTar - Lattice Methods for Quantum Chromodynamics http://en.bookfi.net/book/747102. Their content significantly overlaps, however some of the topics, not covered in the first book mentioned, can be looked up in Degrand, DeTar.
The book by Istvan Montvay, Gernot Münster https://books.google.ru/books?id=NHZshmEBXhcC&redir_esc=y contains more theoretical details and is more advanced, but I recommend to read it in case there is wish to get more rigorous proof or motivation for some statements, for example, justification of staggered fermions.