How do I run an order delivery system for my own drivers and the apps' drivers at the same time?

They run side by side without mixing. An order from your own page is yours to deliver: pick a rider on the board and the ticket goes to their WhatsApp group. An order from a delivery app arrives on the same board and the same kitchen screen, but the app's own rider collects it, so no ticket goes to your riders and the order never touches your drawer. Your kitchen sees one list. The Orders from delivery apps tab in the docs explains how app orders are handled.