Some really basic questions about using Arduino for interactive art

Actually you need to start learning arduino from basic.

There are many arduino kits available on any store.

I'm looking at ways to add some movement, lighting, and/or sounds to my art pieces; for example, to have lights turn on or off for certain areas of a piece; or to have a screen come up or down, hiding or revealing parts of a piece; or to have a part of a piece turn or have movement; or having sounds or a video start/stop.

Thats all is available on arduino kits.

and for program examples you can search on it.