Learn to apply it at different rates, varying the rate, and at different widths. Learn specially to taper it to straight tone at will, or vice versa. Listen to your favorite artists. Pitch isn't something you tend to when tuning your horn. It's part of your sound.
Vibrato is merely the manipulation of pitch.
That's pretty much it for now. There's no way that this short explanation can cover the intricacies of everything, but if you are intuitive, it will give you some direction. Shooshie One last note on fingerings for sax. Your instrument will sound out of tune in some registers but there is something you can do to change this. The palm D key for example will not be right in the middle register.