A draw (or hook for those who can't control it) is accomplished by squaring the clubface perpendicular to the line of your body, then swinging from inside to out. As the clubhead moves from the left to the right (for a right-handed golfer) across the ball, it will induce the sidespin that makes the ball curve left.
To do this, raise your backswing, and think about swinging down, then out at the ball as you swing through. Be careful to still strike the ball with the sweet spot; if you hit off the toe, it'll push or worse. Another method is to move the ball towards your trailing foot, and close the clubface slightly; the clubhead will move in a circle, and so its tangent direction further back in the swing will be more outward. However, the further back you move it, the higher the clubface will be in its arc at impact, so the ball will launch lower; if you want a "high" draw, you're going to want the ball to be more forward in your stance, so you hit it as you come up out of the bottom of the swing.
If this is a tee shot, you may also tee it a bit higher to add some loft; the more of the club that's under the ball when it hits, the higher the ball will launch. Don't go crazy high, though, or the club can pass right under the ball, obliterate the tee, and send the ball pretty much straight up.
Understand the clubface must remain square to the ball. If you open the clubface, you'll bring it in line with the swing path and the result will be a straight push. If you close it, you'll launch the ball left and it will curve "lefter"; a "snap hook".