Looking for nursery in Japan for Richie

As I have to join back work soon, we are on the lookout for nursery for Richie.
There are 3 types of nurseries in Japan. The first type is the government owned ones, wherein the nursery fees depends on the tax paid by the working parents. Higher the tax paid, higher the fees. For the government nursery you have to apply in the city office (Kuyaksho). Second is the semi-government one, which is affiliated to the metropolitan (for us Tokyo-to). Third one is the private nursery, which is run privately by an individual or private organisation.

In Japan, the academic year is from April-March. April is the best time to get admission. Other time of the year, it becomes difficult to get admission as the nurseries get full and there are several people in the waiting list. We are having a difficult time to get entry. We tried several ones, but still no luck. Lets see what happens. Keep trying!!