ANY light sources other than the display will be deleterious to the image
of the display.
You should use a relatively small aperture, to give lots of depth of
focus, since a convex display is opposite the concave field of focus.
Minor correction. You mean 'depth of field' here. 'Depth of focus'
relates to the possible error in positioning the image (film) plane, not
the subject.
You should use an exposure that is long enough to
include multiple frames,
One good thing is that a small aperture and long exposure go together,
and here you need both of them :-)
otherwise, lack of synchronization will give you
bands. OR, you could tap
into the video circuitry an use the VBI plus a short delay to synchronize.
Good luck!. I've yet to find a digital camera that triggers when you
think it will. There's often an unknown (and suprisingly long) delay
between closing the 'shutter release' contact and actually captruing the
image.
-tony