In my first years of teaching, my awesome mentor gave me some advice: "Only touch each piece of paper one time." At that point I had folders for collected work/work to hand back and a fancy rotation system to tell me which was which. I didn't trust kids to put their paper in the folder in the correct orientation so I walked around the room collecting papers, neatly stacked them and tucked them into my precious folder. Inevitably there was a student who didn't have their assignment ready when I circulated the first time so I would have them put it on my chair so I could properly file things later. You can imagine how tiresome this would get.
Now I have a system kids can use all on their own. There's a filing system on the corner of my desk and I never collect papers these days. Kids either hand all their papers to one side of the room and the kids on the end put the stack in the folder for their class, or kids put their papers in the folder when they are ready. That filing system is the 'in box' for all my classes. Each class has a different folder that is color coded and labeled. When I'm ready to grade, I grab the folder and touch the papers for the first time! After I grade, I put them in the 'out box' - each class also has a folder (color coded and labeled) in the magazine holder. I do then touch the papers a second time when I hand them back. I could have students do that but I like to time the handing back of papers well - I return them while students are working independently on a day when they will have time to review the feedback before the end of class.
I still have kids who try to hand me papers or ask me to get them extra copies, but I can just point to one side of the room or the other while continuing what I'm working on and they realize that they can do it themselves. Teaching kids organization and independence is great. Limiting my responsibilities so I can focus on teaching is awesome.