So I've just discovered this thread, after having played a grand total of 2 games of Civ 4, first winning easily on Warlord then losing on Noble. I have found it to be a very valuable resource in learning some of the basics of the game. So, I've started to play along and read as I go. The theoretical discussion is quite insightful, and I think the OP's rationale and approach are excellent for the novice.
So here's my progress to date:
I settled in place as suggested, and have followed the tech suggestions of VoU. I did warrior/worker/warrior/settler in Washington to start off, I wanted to grow the city before doing any worker/settler action at first. I think I wound up making the first settler at pop 3. First city was New York, to grab the resources. I probably would have been better off settling two N from where I did, but my reasoning at first was it would maximize the number of resources in the city. I've come to the realization that it would have been better to split the resources into two cities, as they won't get exploited as quickly in just one.
My next settler grabbed Boston, it just looked to juicy to pass up. I then grabbed Phil and Atlanta to stop Mansa from moving down any further.
I've kept a decent stream of workers flowing, and have worked at trying to prioritize the tile improvements by resources.
My plan from this point is to create more defensive units, link the cities for some trade routes, and build some libs to get research cranking. When I get some this done, I'm going to grab the gold/wheat city for some more income.
I've approached this project like this: after reading the OP, do it and run to turn 15. Check in with turn 15 post, read what OP is planning, and try to do that as well, run to next checkpoint and read that post to see what I did differently.
Thanks to Voice of Unreason for this thread and idea, I hope nobody minds the necro!