A use for plastic we can enthusiastically endorse.
For local moves, it's all upside. Crucial: the plastic bins won't come apart at the seams when you're carrying them down a walkup. They're stackable, which simplifies loading and unloading the truck. No need to ask trees to contribute to your move. No tape is needed to seal the boxes.
If you're worried about creepy crawlies, they're more likely to be in cardboard, particularly if you're using boxes from a market or the street. The plastic boxes are disinfected between moves.