You need a hanging jewelry organizer that way the cats can’t get into it...maybe multiple.
https://www.amazon.com/gp/aw/d/B01CPHFN34/ref=mp_s_a_1_1?ie=UTF8&qid=1521291487&sr=8-1-spons&pi=AC_SX236_SY340_QL65&keywords=hanging+jewelry+organizer&psc=1&smid=A2TVK2YUK0LNNB