We've had 8 military moves (with packers). I always go through my bathroom cabinets, kitchen cabinets, and linen closet before the movers come. I tape the lids closed and put the bottles of shampoo, vinegar, nail polish (don't tape those), etc. into large zip loc bags. Movers always to take them.
Weird stuff I had to convince them to take...
Jar-type Yankee Candles because they are "flammable"...um, sure, if you hold a match to them. If that is the threshold, so is my couch, my clothes, and that filing cabinet over there.
A single, solitary brick I pried from the street in the town where I went to college - because they couldn't move "building material". Umm, what am I going to build with a brick?
Since we always move completely across the county and spend at least a month homeless, I always empty one closet in the house, then fill it with everything we will need for the road trip (clothes, cooler, paperwork, dog kennel, etc.), close the closet door and cover it with "do not pack: signs.