The first rule of stage magic, never turn you back on the audience, as they think you are done, and walk away, as they did in the video.
If that was you in the video, then work next to your table, makes it easy to pick up and return props. Don't throw items on the ground, use a dump box or bag, behind the table, or replace then in the table.
Have the proper table for your show, a place for everything and everything in it place.
Pocket management is not the problem, but prop management is. More rehearsal is necessary, and think where you will place items for easy pick up and replacement of items.