Once your school has more than one connected Stripe account, three dropdowns appear on the Admin/Settings page: one each for dues, donations, and subscriptions. Use them to send any of these to a specific account, independently of each other. Leave one set to "Use Default Account" and it will always follow whichever account is currently marked as the default.
Changing one of these only affects payments made after the change — it never moves or re-routes money that's already been collected.