FREE Room in exchange for Nanny Housekeeper duties

I am a stay at home mother, with 2 small children. I am looking for someone with childcare / housekeeping experience to give me 14 hours help in exchange for accommodation, in our large happy house in SW London.
Duties:
- Some childcare
- Housekeeping duties (I have a cleaner)
- Laundry
- Babysitting
All bills and internet included.
This will not be compatible with someone in full time work.
The single room shares a bathroom only with the children, has great storage, and desk, and is cheerful and light. The whole house was newly refurbished recently.
Perhaps this would suit someone doing a masters, and is looking for a way to reduce the cost of London accommodation. I can be flexible with the hours to fit in with study, and I would like applicant to be flexible to do the hours when I would need them, and do 2 nights babysitting of my choice.
This arrangement is not compatible with someone who works part time in the evening.
Please reply with why you would be suitable for this position, what your availability would be during the week, and the childcare experience you have.
Excellent references required!
I will much look forward to hearing from you.