From Facebook fan Caitlyn Marie Lear ~ "Be a friendly boss [to your horse], not a bossy friend."
Since the various available lateral movements all work to supple the horse's body in a slightly different way, it is a good idea to use bits of all of them in your training. Don't just do your favorites.
The rider who keeps their weight too far forward at the gallop will cause their horse to gallop on the forehand. When the rider's weight (center of gravity) is correctly above the center of the saddle at the gallop, the horse will be able to more easily gallop
When you have an anxious horse that wants to rush, it can be helpful to very deliberately work in a tempo that is much slower than they are naturally offering you. Only when they have settled into a quiet, even rhythm, and are truly waiting for you, should you push