"Heel" (Stationary v.s. Moving)

If I were doing competition, I'd start with the halt first.  This is because when you start training a chain of behaviors, you'll start with the last link first . That way this will be trained the strongest first. The catch is you have to be very sure from the start what the "final picture" needs to be and be consistent - no "adjustments" once you start!  ;)

I do both, but separately.  For example, I'll explain my Nikon, he is 5 months.  He is learning "let's go!" which means loose leash walking in heel position.  I won't use the actual words I intend to use in competition until he matures and is ready to learn it very precisely.  So for now I say "let's go!" and he heels along using a hand target.  The "let's go" command does imply movement.  At the same time, he is learning to find front and find heel being stationary.  Again at this time I'm not giving him the formal commands I intend to use later in competition, just praciting luring him into position, rewarding for sitting and standing in the correct position, and rewarding for any focus/eye contact.

With younger dogs, I think perch work is really cool.  It helps the dog learn to find front and find heel, helps teach them that they have back legs and how to swing their bodies in tight.

I do both too. Why not? I find the biggest problem with the stationary position is the dog seems to want to wrap around in front of you to see your face so his butt swings out, and the biggest problem with the motion is the dog staying in the proper position for relative long periods of time.

I say "both", too, with the additional caveat: I find that lots of heeling in motion with tons of turns, pivots, etc where the dog stays in the heel position really helps the dog realize that "heel" is a place to be, as opposed to an action.  Makes stationary heel positions easier when the dog understands heel as a place to be next to you.

Seems to me, that you get focused attention in heel position first and likely loose lead walking at this time as well in many cases.  Then you teach moving heel a step at a time, working to generalize that behavior to greater lengths and more locations.  That is how most every OTCH handler I know teaches it.  I get a fair number (20+ every year) at our kennel club's obedience trial associated with a our dog show).  Some great resources include Patty Russo videos if you can still get them (boy do I miss that woman),  Morgan Spector (clicker for obedience book),  Sandy Laudwig (videos and seminars in the midwest east and west of the Mississippi)

 i teach attention in heel position first, and do pretty much only that for a long time before the dog ever learns to move with attention - they need to understand the "picture" of where i want them to be - understand what i look like from there, that it's an awesome position to be in, and most importantly, teach them how to get there from all over the place. only then, do i start to move - and its a very slow progression. first its just taking one step with one foot - you come with and keep your head up, bingo!

You can still get at least one of Patty Ruzzo's videos on Tawzer Dog Videos:-))  I had the benefit of apprenticing with one of her friends, and I'm sure that a lot of the knowledge I was fortunate enough to absorb came from her.  "Put a cookie on it"