It took me some hours to figure out how to get a Sony Vaio PCG-V505BCP laptop running Windows XP Professional to work with a Sony KDL-19M4000 HDTV the way I wanted it to, so I'm posting these instructions in case they might help someone else.
The instructions haven't been completely walked through end to end yet—they are based on notes. So there may be some missing, unnecessary, and/or incorrect steps.