I use a medium size baggy pouch for everything like that - pens keys makeup hair ties medicine etc. it’s always stocked and then I can easily change bags during the week without forgetting anything. That way you can use whatever bag you want, but stuff stays wrangled. Lots of color options too, and mine still look new after a year.
(The big ones I use when traveling or doing parent stuff - dance recitals etc - and the tiny one keeps my garage fob)
https://www.baggu.com/products/go-pouch-set-painted-prairie