Keep pencil leads from breaking during transportation?
A colleague of mine carries her 100+ colored pencil collection in a fabric pencil roll. The pencils slot into little rectangles or elastic along a rectangle of fabric, and then the rectangle is rolled up. It ends up about the size of a water bottle, and fits easily in purse, shoulder bag, or backpack.

While most of these I've seen are for colored pencils (due to the large number that are often transported at once), they should also work for graphite or charcoal pencils. For more delicate exposed tips, a layer of reinforcement or padding can be added to further reduce chance of breakage.

These are available commercially made:


Image from Blick

You can also find a number of tutorials online to make your own (or ask a crafty friend with a sewing machine to help you out):


Image from Love me Sew pencil roll tutorial