1. As an employer, there is no labor relationship between you and the nanny, so you are not obligated to give advance notice.
2. Domestic companies are generally labor dispatch companies, and the labor relationship of nannies is established with this domestic company. Domestic companies should sign labor contracts with workers. You have no obligation to sign a labor contract with the laborer.
3. You are not obliged to take care of her things. Of course, it is not impossible for you to help her if it is convenient. \ (o)/~.
4. There is no labor relationship between the nanny and the employer, and there is nothing against the law for you to dismiss the nanny.
I hope the above answers will help you.