Is it easy to change televisions? - DirecTV

I have an old analog TV with a converter connected to a DirecTV HD receiver. If I change the television to a new HDTV using the HDMI cable will I have to do anything else or will simply pushing the ON button on the DirecTV remote control turn on the TV and receiver as before? Thank you.

This question, "Is it easy to change televisions?," is about DirecTV channels, programming, equipment, and sports.