When doing many DIY projects there's a strong need to protect hands against cutting by sharp part edges. Gloves seem a natural solution.

However recently I was mounting a countertop and wearing gloves and I needed to drill a hole in the countertop surface. I held my hand too close to the drill bit, so once I turned the drill on the drill bit somehow captured the glove and started wrapping it onto itself. I was lucky - the drill had a rather weak motor and it was adjusted to not achieve anything close to high torque, so I all got was a glove torn apart, but that could easily be a broken finger or two. If I had no gloves at that moment just nothing would have happened, except I could at most mildly scratch a finger.

So it looks like wearing gloves greatly increases risk of injury when using power tools. How to address this? How to protect hands when using power tools?