Well, big topic, but I'll start with something basic. You really need to be able to accurately estimate distance at a glance. That takes practice. Sight objects around your house and try to guess the distance, then measure it and see how far off you were, rinse and repeat.
It sounds silly, but if you are pulling focus based solely off the monitor, then you are reacting to the talent having already gone soft.
It's more of a foundation skill than one specifically for moving targets, but you've really got to be able to pull without the monitor for those.