Q: extended display & switching videos

I have a MB Air connected to an LCD projector. I want to run a video on one display while at the same time, preparing another video to play a bit later. I hate the idea of the audience "watching the cursor pull the screen over" as I move the finished video off the extended desktop and then move the next video on to the extended desktop. Isn't there another way to use multiple desktops in order to play/show different things at different times?

I tried using multiple desktops and found that none of them showed up on the LCD projected screen.

Then I used the Mirror but everyone could watch me prepare the next video to play! Not good!

So the only option was using the extended desktop. In order to play the video, I had to press Command/Return (at the same time) because pressing the play in Quicktime) would not start the video on the extended desktop.  I had to restart the second video from scratch by closing QT after the first one played because the second video would not not play initially.

There has got to be a better/smoother/savvier way to do this.