Gtown Green's move vs. a dribble move
 

I hope this makes sense.....

I have reviewed the posts about Green's move in the Vandy game...the analyis makes complete sense to me now. My question is what is the difference between the legal move that he made vs. a dribbler picking up his pivot foot prior to releasing the ball on the start of a dribble (violation correct?) When does the travel occur? This may be a novice type question but I am struggling to define the difference between these 2 situations?

It is strictly a matter of what the rules say a player may or may not do.
The rules specifically prohibit lifting the pivot foot prior to starting a dribble. So that is why that is illegal. I'd guess that the rationale is that it would be too difficult to play defense, if a player could get a head start with his first step as he started to dribble.

On the other hand, the rules state that a player who is holding the ball, either before dribbling or after ending a dribble, may lift his pivot foot as long as he passes or shoots (or requests a time-out) before putting this foot back down on the floor.

Traveling Myths
 

The traveling rule is one of the most misunderstood rules in basketball. To start a dribble, the ball must be released before the pivot foot is lifted. On a pass or a shot, the pivot foot may be lifted, but may not return to the floor before the ball is released. A player may slide on the floor while trying to secure a loose ball until that player’s momentum stops. At that point that player cannot attempt to get up or rollover. A player securing a ball while on the floor cannot attempt to stand up unless that player starts a dribble. A player in this situation may also pass, shoot, or call a timeout. If the player is flat on his or her back, that player may sit up without violating.

During a fumble the player is not in control of the ball, and therefore, cannot be called for a traveling violation. A fumble is the accidental loss of player control when the ball is unintentionally dropped or slips from a player’s grasp. After a player has ended a dribble and fumbled the ball, that player may recover the ball without violating. Any steps taken during the recovery of a fumble are not traveling, regardless of how far the ball goes and the amount of advantage that is gained. It is always legal to recover a fumble, even at the end of a dribble, however that player cannot begin a new dribble, which would be a double dribble violation. A player who fumbles the ball when receiving a pass may legally start a dribble.

The shooter can retrieve his or her own airball, if the referee considers it to be a shot attempt. The release ends team control. It is not a violation for that player to start another dribble at that point. When an airborne player keeps control of an attempted shot that is blocked and is unable to release the ball and returns to the floor with it, that player has not traveled; it is a jump ball. If, in this situation, the shooter releases the ball, then this is simply a blocked shot and play continues.

Palming or carrying is when a player gains an advantage when the ball comes to rest in the player's hand, and the player either travels with the ball, or dribbles a second time. There is no restriction as to how high a player may bounce the ball, provided the ball does not come to rest in a player’s hand. Steps taken during a dribble are not traveling, including several that are sometimes taken when a high dribble takes place. It is not possible for a player to travel during a dribble.

dribbling while on floor
 

if a player secures the ball on the floor, that player may start a dribble and get up, is that correct?

Yes, unless they were securing a ball which was fumbled after a dribble. Dribble first, then get up - you cannot travel during a dribble.