Alpha M's Aaron Marino has an effective way to use the dopp kit or dopp bag. All grooming and self-care gets tossed into this bag. Invest in big zip-lock plastic baggies.
Separate everything, put into baggies, and then put into dopp bag: put medicines into one bag; put non-spillables into another bag; then breakables and spillables into another bag. Your packed items are protected from spillables and breakables by a double barrier.