Bill reminders that don't depend on your inbox.
Settings → Notifications → keep the Web push master toggle on, then Enable under "This device". Each browser or phone subscribes itself. Push respects the same bill-due and overdue toggles as email.
Push subscriptions belong to the browser, not your account. Your laptop and phone each enable separately, and disabling one device never silences the others. On browsers without push support the device control simply doesn't appear.
The same bill-due-soon and overdue alerts you already control under Settings → Notifications. Turn off either toggle and push stops too — there's no separate push-only rulebook to manage.