No.  Just no.  You have a full time nanny and a work space that is physically separated from your home?  that's not working from home with kids.  Working from home with kids is having the baby strapped to your chest for a nap while you sit at the computer.  It's balancing your need to finish something with your guilt over letting your kids spend another hour playing video games so you will be able to finish it.  It's never having more than 15 minutes in a row to do anything because 15 minutes is the longest your toddler will ever play with anything by herself.   It's learning how to do 8 hours of work in the 5 hours that your kids spend in school.  

Nothing wrong with having a nanny.  But handing childcare to someone else for 8 hours every day so you can get your work done is *not* working home with kids.