Keeping everyone in your household healthy is a good idea.
As the employer, you should discuss the responsibilities you have for your staff and families and the responsibilities that you would like your staff to have for their own health and your families. It is usual here for employers to pay reasonable medical costs for staff and their families as they will be working with no health insurance and with limited access to free healthcare unlike in other countries.
Many hospitals and clinics provide a health check service for household staff.