For some reason, Apple has imposed a most absurd restriction where the only way to get an iPhone (or other iDevice) to sync with a different computer is by erasing it first. I haven't verified first-hand that this process actually erases the entire iPhone, because, naturally, I'm too afraid to try it.
So I spent a long time scouring the web trying to find a way around this ridiculous (and artificial) limitation. I spent literally hours over the course of several days and eventually found a combination of web pages that finally allowed me to do what I needed. I'll summarize the steps here for others who have banged their heads over this one.
