Also, I'm not a fan of making horse move when the end result it to make them stand still.
Teach your horse a "be still" command, I've used stay, stand, be still, get on those feet, plant 'em, park out, of quit. Horse knows it is to get still and stay that way.
But being able to enforce that helps a lot.
Make sure when you are working with horse, that you are calling the shots as to when you are going to move, how fast and where to. Don't just snap lead to halter and take off in other words. Horse needs to let you lead and make the decisions as to when, rate, and where.
I will halter, make horse stand...then back them up step or two, then lead. During that I will stop dead still and just stand there looking ahead. I don't want horse to fidget, shake head, or do anything but just stand there.
I will alter my pace, from brisk walk to barely moving and horse is to match that speed.
I do that until horse understands I am running show, with training horses, they are used to it more, but a refresher helps, but any new horse gets done that way, as it gets them in mindset of you are in charge.
Horses make me a better person.