How to minimize the impact of unpopped kernels and kernel shards in popcorn?
Don't eat the popcorn straight from the bag. Put it into a nice large bowl. This will provide enough room for the unpopped kernels to fall to the bottom. As for hull shards between your teeth, dental floss or a toothpick will take care of that quickly and relatively neatly. Avoid burnt pieces by watching as you pour the popcorn into the bowl and as you take pieces to eat from the bowl.

Alternatively, set it all aside and serve it (in a nice bowl) when you have guests over. They are unlikely to notice you're not eating any.