Off the top of my head, I can suggest wearing work gloves, much like what people (should) do when they move any other heavy object.
Of course, it shouldn’t be necessary. My old QuickSilver G4 Mac has handles with nice rounded edges, making it easy to carry, even though it is pretty heavy.
It’s still better than my first few PCs, where the steel cases often had sharp edges. I cut myself on several occasions while performing major work on them (like swapping a motherboard). Which caused me to paraphrase a popular quote about SCSI and say that the computer required a blood sacrifice.