Urgent ask - Exporting Test Cases to CSV

Hi all,

My org is currently moving off of Jira very soon and need to export all the zephyr test cases to a csv file.  Can anyone point me to an article on how I can do this easily.   We have thousands of test cases created and need to copy locally to a file like CSV. 

The UI has an export feature but it's limited to maybe 50 test cases so it wouldn't be done efficiently. Also, it's difficult to filter. I was looking at the API to do this... perhaps using postman.  If anyone can provide me an approach would be great!

Thanks so much!