C.,
I am also a childcare provider. If I were you, I would begin interviewing parents and as soon as I have people that are ready to begin, I would give a two-week notice to this family.
About your contract; you need to rewrite your contract and include paragraphs dealing with inclement weather, sickness within your family, etc. so that you can go back and refer to it when a client has issues with closings. Personally, I have written into my contract 5 personal days which can be taken at any given time with notice given to the parents by 6am of that day.
PAID PERSONAL DAYS: I will take up to five personal days per contract year. These days include necessary personal appointments, unforeseen circumstances such as illness or funerals and/or continuing education but may be used for any reason. I will give you as much notice as possible but understandably, advance notice for illness or funerals is minimal.
The reason that I don't include weather related issues is because I am a "teacher's only" childcare and if school is closed, so am I. If I were you, I would state that in my contract about weather related closings.
If you want to see a copy of my contract, contact me and I will forward it to you. I have been at this for 20+ years and have ironed out MOST of the issues!
Good luck!
C.