Most certainly if this is your work then driving to and from work or during the course of work would seem to apply to taking the children to their school and anywhere else that you need to transport them, such as parks, classes, etc. Remember though, you may also have a 30 suspended license before you are eligible for a restriction. As you are in LA, there may also be an IID requirement. Since you are using an employer's vehicle you may well have an exemption from this requirement.
First of all, did you request a DMV hearing within ten days of your DUI stop? If not, how long ago was the stop?
If you are regularly employed as a nanny, you will be able to continue driving within your work duties. Are you privately employed or is it through an agency? As the other attorney pointed out, there is now an additional requirement that your vehicle be fitted with an ignition interlock device you must breathe into to start the car (it won't start with any measurable amount of alcohol in your system). If you are driving your own vehicle for work, you will have to install it. If you are driving your employer's vehicle, you may be able to secure an exemption.
All in all, a DUI these days has a great impact on your life and work. You must be sure you are aware of all the consequences and should consider legal representation to get the best possible resolution.
Feel free to call me if you wish more information. The call is free.
You may be confusing terms here. When you say you are having a "court hearing" do you mean that you are having a DMV hearing? If so, then it sounds like you requested that hearing within 10 days.
Secondly, you will also have criminal charges filed most likely. In any event you should hire a lawyer to help you, there are many avenues that can help keep your license. If you try to handle this on your own, you will most certainly bumble it.
The above information does not establish an attorney client relationship nor is it meant to provide legal advice.
If you are speaking of the DMV restrictions, it is to, from and within the scope of employment. As your post suggests, the driving appears to be within the course and scope of your employment.
This is just an opinion, so please don't rely on it as if it is a definitive answer. If it is within your job duties and the kids are in the car and you can prove its your work, you should be fine. But keep in mind police officers sometimes aren't very nice. If they think you are lying or this is outside the scope of work, then you could pick up a new case. If it were me, id have a letter from my employer in my glove box at all times. Call with questions. Im in L.A>