vanity case
vanity case {n.}
1. A small case containing face powder, lipstick, and other things and usually carried in a woman's handbag; a compact.
She took out her vanity case and put lipstick on.
2. A handbag or a small bag carried by a woman and holding various toilet articles.
She had the porter carry her big bags and she herself carried her vanity case.
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Source: A Dictionary of American Idioms