Hi! It’s so cool to hear that you fell in love with hanfu & hanfu accessories since following my blog, and thanks for the question! (below - hairpins for bride in Ming-style hanfu, via)
In the past, Chinese women stored their favorite and most precious hairpins & other hair accessories in vanity boxes called zhuanglian/妆奁 or zhuangxia/妆匣. In addition to hair ornaments, zhuanglian contained makeup, combs, and a mirror. Below - Qing dynasty zhuanglian (x):
These boxes were exquisite and hand-made by artisans, and gifted to a girl from her family when she got married as part of her dowry. They were produced and popularized as early as the Warring States period, and remained commonplace into the Qing dynasty (x). Below - Tang dynasty zhuanglian (x):
Zhuanglian came in many shapes and designs. Some of them also had handles for easy carrying. Below - Qing dynasty zhuanglian with handle (x):
You can view more photos of traditional zhuanglian here: 1, 2, 3, 4.
Nowadays, hanfu wearers typically store their hair accessories in modern jewelry boxes/containers. However, there are also more traditional options available on Taobao (1, 2):
Bonus: Chinese artisan Xiao Qian Feng/小芊枫 making a traditional wooden jewelry box:
If anyone has more information, please do share! Hope this helps!