I think a good plan, is starting with Feynman's Lectures on Physics, the third volume which is the one about QM. Then you can read Shankar's Principles of Quantum Mechanics. In case Shankar gets hard to understand, you can retreat to Gasiorowicz's Quantum Physics or Griffiths' Introduction to Quantum Mechanics. Then, in case you want to be really good at it, you can also study Sakurai's Modern Quantum Mechanics, but that's an option.
I should add that learning is not only about reading good books. You should try to do the thing yourself and when you have problem with something, go and read about it. In fact it should be a mixture of them. You read good books, then try to do it yourself and correct you mistakes by reading other books. So, from this point of view, I would suggest reading Shankar's with Gasiorowicz's and Griffiths' as backup, then in case you run into conceptual problems, you can read Feynman's and if you get into computational problems, you can read just any other book.