Night Nanny

We're seeking a night nanny to take care of our daughter. We're proposing a 10 p.m. to 6 a.m. shift but are open to discussing alternatives. Responsibilities would include changing clothes (as needed), changing diapers, and overnight feedings. We have formula prepared. Our girl is 1-month-old and largely feeds on demand. At most once or twice a week she may have a night where she is a bit fussier, but generally she's a wonderful baby.