Can there be a public lot type that will have a nanny NPC? I haven't played a lot lately and am trying to get caught up.. :) I've downloaded daycare lots but don't know of a way to leave toddlers or ...
All you have to do is send the Sim (parent, et al) out of the lot and you'll get a pop-up saying that so and so was sent to Daycare. The baby/Toddler will return after your Sim gets back to their home lot. If memory serves, you may even be able to send the wee one to Daycare from the phone.