The thing to remember that is paramount, is that Jazz/Blues is an aural art. You need to hear and internalize it, not read it.
Yes, reading books can be helpful. But until you get the feel in your ears, everything is just peripheral.
Listen to some Blues and Jazz music and sing along with it until a listener cannot tell that there are two performers. You have to, without an instrument, internalise the feel. When you do this, as a by-product, you pick up idiomatic articulations, phrasing and all the other elements of music. Then -
Learn the six-note Blues Scale and start playing simple blues with these notes. You'll discover that a basic Blues has only three chords and the Blues scale fits over it very easily. The Jamey Aebersold Play-Along, Nothin' But Blues, (Vol. 2) is one good starting point.
After you/ve doing all that, begin playing along with recordings. You can also start transcribing useful licks to practice. Miles' solo on So What from Kind of Blue is a good starting point for transcribing. While it's not a Delta Blues, it's simple enough to use to learn transcribing techniques.