Dopp kit

A Dopp kit also commonly referred to as a "DOB kit" is a small bag, made of leather, vinyl, or cloth that is used for storing men's grooming tools for travel. Common items kept in a Dopp kit are deodorant, a razor, shaving cream, comb, nail clippers, scissors, toothbrush, toothpaste, and cologne. The name derives from early 20th century leather craftsman Charles Doppelt.

The original Dopp kit was designed by Jerome Harris for his uncle Charles Doppelt, a German immigrant to Chicago in the early 1900s. The kits (and hence the term) became widely known during the Second World War when they were issued to GIs. Doppelt's company was purchased by Samsonite in the early 1970s.

Dopp kits were once a common gift given to adolescent males as they ascended from boyhood to adulthood. 

Although the term was originally a trademark and may still be, it appears to have at least mostly become generic.