Learn Swedish: Hur dags ska du skjutsa barnen till förskolan imorgon? - At what time will you drive the kids to preschool tomorrow?

Hur dags specifically asks for a time on the clock (at what time), while när is a broader when that could refer to a day, week, or month. You could absolutely use vilken tid here, which means exactly the same thing as hur dags, but hur dags is a highly natural and common phrase for asking about daily schedules.

Why is the verb skjutsa used here instead of köra for drive?

Skjutsa specifically means to give someone a ride or a lift. While you can technically say köra barnen, the focus of köra is on operating the vehicle. Skjutsa is the most natural Swedish verb to use when you are dropping a person off somewhere.

Why is it till förskolan (to the preschool) instead of just till förskola?

Swedish almost always uses the definite form for routine institutional locations like förskolan, skolan (school), or jobbet (work) when referring to the specific place a person usually attends. English typically drops the article in phrases like to preschool or to work, but Swedish keeps it.

Could I use kommer att instead of ska since this is happening in the future?