Erhu into the USA

I am currently a foreign college student in california and am planning to bring my Erhu with me to college. I am from Taiwan.

I got this instrument from my teacher and payed in cash six years ago back in 2019 when I was in middle school. Thus I have no certificate from a store.

I am wondering if it is still possible for me to bring Erhu into the states. Do I need CITES for both Taiwan and US immigration and customs enforcement?