also: ばにてぃーけーす
noun
vanity case; cosmetic case
A small case or bag used for carrying cosmetics and toiletries, often when traveling.
旅行のときはバニティケースに化粧品を入れていく。
When I travel, I put my cosmetics in a vanity case.
化粧ポーチ is a general makeup pouch, while バニティケース often implies a more structured, box-like case for travel.
Borrowed from English 'vanity case'.