Border router
It connects an IP-based Thread network to the rest of the IP network; it is not inherently tied to one brand's app.
Hub or controller
A smart-home controller manages devices, automations or ecosystem membership.
Bridge
A bridge can expose devices using another technology into an ecosystem or Matter fabric.
One product can contain several roles
A speaker, display or router may act as a controller and Thread Border Router at the same time.
Keep in mind. Compatibility is not permanent. Confirm the current manufacturer, platform and certification information before purchasing, resetting or migrating a device.