Personal Guest on Employer Host: Security & Privacy

Hi. My employer provides me a macbook ("work-book") for work. I would like to give my personal macbook ("my-book") to my child for home schooling, and use my work-book to access a clone of my-book for personal needs, via parallels. Since I'll be opening a my-book on an employer-owned host machine 9assuming they'll allow it), i would like to take any/all measures to prevent personal data or screenshots from being accessible to the work host. The only scenario I'm aware of that could expose my personal guest data to the work host might be through enabling clipboard sharing, and file sharing between guest and host. Assuming these were disabled, is there anything else i need to be aware of that could somehow expose my personal image to my employer? Any suggestions for a complete separation of concerns would be helpful.

Thank you.