No way. Only if they pay a deposit AND pay for you to keep a space empty for them until April (which is just stupid). Who looks for care 10months in advance? They won't even know what type of care they need in 10months. For all they know they will have moved, or a parent will have been laid off, or their child will need a nanny due to xyz.

Tell them to check back with you in January/February to see if you will have a space available and if you will then interview them then...don't waste your time now.