I have Deep Learning with Python (Chollet, first edition) and Hands-On Machine Learning (Géron, first edition). Both books are highly recommended.
Introduction to Statistical Learning is also available for free online:
http://faculty.marshall.usc.edu/gareth-james/ISL/
Although I only read a few chapters from that book, I really like it (but I would have preferred a python version of the book).
Personally, if you have to pick three books from the list, ypu can start with these three options.