Automate Creation Of Bb and Eb Transposed Charts

I create a lot of jazz charts for vocalists with lyrics to that I can transpose them to their singing keys. In many cases, I also need to also generate transposed charts for Bb and Eb instruments, and then generate PDF files for all three charts. They also need to be named and labelled (Part Name).

This has become a tedious and error-prone process. Is there a way to automate this process?