At my old job, the women shared a private bathroom, and we had a plastic organizer with a drawer on the counter without the casters for each person to keep personal effects in.

Sterilite 28308002 3 Drawer Cart, White Frame with Clear Drawers and Black Casters, 2-Pack ссылка

Or you could have one a little more stylish on the floor:

Homfa Bathroom Floor Cabinet, Wooden Free Standing Storage Cabinet Side Organizer Unit with 4 Drawer, White ссылка

Hopefully there's some overlap in your house of products you all use and share that can be placed in common areas.

We had 1 bathroom for 3 teenagers and my mom. We all had our own basket that had our brush, hair ties, make up, contact solution, deodorant etc. and they were either in the linen closet or under the sink. And then in the shower we had suction cup caddy’s that had each person hair and body wash if we were using different stuff. I will do something similar for my girls when they are a bit older. They will have a bathroom to share but we also have a master bath and a 1/2 bath downstairs so it won’t be as hard as 1 bath for the whole family!