I'm afraid with school one of you will have to drop him off once you get a car. Maybe find a school that is on the way to work or not too far away to save time.

Alternatively find a school that provides school buses. Might be a very early start for the child in the morning though. LAst resort, You could hire a driver but that might be too expensive if just 1 child.

It's difficult without a car, you will just have to depend on Taxis until you get a car