How do I play Apple TV on my tv?

Either use a compatible smart TV that has access to the Apple TV app natively;

or use AirPlay to stream from an iOS device to a compatible AirPlay-enabled TV;

or use an HDMI-connected streaming device that has the Apple TV app (Apple TV set-top box, Roku, or Fire TV).

Devices you can use with the Apple TV app and Apple TV+ - Apple Support

Apple TV app-supported devices and AirPlay 2-enabled TVs - Apple Support

All the ways to watch Apple TV+ - Apple Support