I had some trouble with them early on, until I understood one thing that helped. Here is what it was for me.
When you are standing behind the CB on the visual, imagine a string from CCB to your nose. This is the CCB line. Now depending on if you are doing a left or right pivot, you are going to end up laying your cue down next to (parallel to) that line offset by 1/2 tip. That is the important part. Now that you know exactly where the cue is going, it is just a matter of getting it there. Beginners are taught to move the cue straight in along that line. However it is more natural to just bring the cue in from the side and put it there. So a sweep is basically moving your body and cue appropriately to place the cue on that offset. If you are right handed, a right pivot will be essentially bending over. A left sweep will require a slight turn of the shoulder. I also start out with my body off to the left further on a left sweep so I'll be out of the way for the pivot.
Pro One is sweeping to the post-pivot position. That position is easy to get to once you know the pre pivot position. Either one can be done: sweep to pre pivot or sweep to post pivot. I like pre pivot so I can check the visuals at full stance.
Great explanation and description. Thanks for taking the time to share and instruct.
I think Stan should hire you and open a school....