Lease language for live-in nanny

[Rick Beno]

I have a highly qualified family moving into a SFH rental. They plan to hire a live in nanny from an agency. What kind of language should my lease addendum include regarding this? Couple obvious clauses:

-the tenant being responsible for any issues in the house caused by the nanny

-the nanny is only permitted to reside at the property with this family (if they leave, she can't stay)

-the nanny must be hired via an official agency and nanny background check info must be shared with landlord

Any other thoughts?
Thanks.