Most people consider a good fake book to be indispensible for learning to be a jazz player. They aren't teaching material per se. They don't explain anything, they are just big books full of tunes popular with jazzers -- typically just the melody and the chord names written above the staff. They are perfect for using as you suggested -- practicing stuff using real tunes. Once you can play, they become the common currency for casual jazz gigs and jam sessions, and you'll use them forever.
In my experience the only ones you really need, at least for taking to jams sessions and jazz gigs, are the volumes of the real
Real Book, particularly I and II. These are collections of transcriptions done originally by students from Berklee School of Music from the early 70's. You can't get these at Amazon; ask around your area, there are probably some music stores that can get them (I got my copy of Vol I from my first guitar teacher many years ago). You can find PDFs of them on the web if you look around but it's better to have a hard copy you can lug around with you. They are officially illegal, but they're still the most commonly-used ones despite the existence of the Chuck Sher books:
The World's Greatest Fake Book,
The New Real Book Vols I-IV (which is probably what you saw on Amazon),
The Standards Real Book, etc. These latter books are great. much better quality and more accurate than the "real"
Real Books, which are notoriously full of errors and of much funkier quality. The trouble is, you can't count on everybody having these, while you usually can count on people using the "real"
Real Books.
As far as methods, I find the Mickey Baker one to be really good overall. The William Leavitt book series from Berklee are good too. I'm sure there are others that are very good, but I have little experience with any others. I find the ones that just throw piles of chords and example phrase at you to be rather difficult to absorb. Having a teacher can really help because then you can ask questions and crack free when the book confuses you or doesn't explain something in just the right way that will resonate with your own personal brain. One more thing that I've been working through and I find to be an excellent, metjdoical approach is the CD-ROMs from PG Music by Oliver Gannon,
Jazz Guitar MasterClass. See
http://www.pgmusic.com/jazzguitarmasterclass.htm
Despite the title, they are really geared for beginning and intermediate players, and they offer a very well-structured method that develops all the essential elements very nicely, with audio lessons, examples, and MIDI exercises to practice with. The one thing that he does which might be nicer is if he used actual well-known tunes; I guess for copyright reasons, he's written his own example tunes to work with which embody the same forms and structures that are common in jazz tunes. With this set, a good fake book, and time to practice and absorb the material, you'll have all the elements you need to become a darn good player except for actual real-world bandstand experience...