School options for short term assignment? (Bangalore)

I apologize if this has been asked before. However I will be arriving in August and likely living near Koramangala with my family. I understand the school year generally runs from June-April, but many international schools run year round.

I will only be staying for Protected content but I would like to use an international school if possible (only during the day, not to have them board).

My question is how likely will it be to have them get into a school when they will not be able to come over early before we move? And also will the time frame (being in school from August-April for example) work for any of the international schools?

I have read that demand is stronger than the supply of international schools and that you often need to go through an interview process months in advance to get in.

Any help would be appreciated!

John