I have a theory that it's a combination of inward focus on yourself (attempts at control) along with an indeterminate 'personal space' (being aware of the area around you).
I have to move a lot of boxes, take apart delicate printer innards, move out of self-closing doors with a hand truck (boy do I hate that...
Over the years, I've tended to develop a sort of 'planning mode' when I have time to move with objects in my hands.
1) Select a path - if you're going somewhere in the room, look for possible obstacles, including your fellow workers. See which way they're moving, and arrange not to be there as they go by. Sometimes this means stopping, or even backtracking. Try to remember where door stops, wheels, etc., are left when coming through.
2) Timing - you can get a feel for how fast someone is moving, and add it to your own movement, to see potential collisions. If they're going to cut you off, let them. Then pass by
3) observe your extremities - hands and feet. Sometimes things are just a little closer or farther away than you think. Watch where your hand is going relative to what you're trying to get. This also applies to brooms, ladders, and 10' poles...
4) Balance. This is probably the only thing I learned in Karate...
Keep your weight centered, over your legs as you move, don't hold heavy objects too far out from your body, don't turn too quickly with heavy loads, keep your back straight when lifting, and use your legs (I regularly lift 125lb printers up and down, and so far I've been lucky), not your back to lift.
It's a pain, you move more slowly, but remember; if you're doing it more slowly, you're still doing it faster than if you have to clean up afterwards.
Also, Mickie D should have some courses or videos that you can review on Safety, only if the lawyers told them they needed to. If you ask your manager, it will be seen as proactive.
Good luck