I think that you should start running the HOF mod with your games. You wouldn't run it as a mod though, you load it by replacing your CustomAssets folder. That way your saves are normal saves but you still get all of the enhanced interface goodies. It doesn't change the game play at all. Any information that you get from it is normally available, it is just way easier to see it.
When you are actually playing the game you will get the benefit of the things that will happen next turn or happened this turn warnings. There are notifications when a city is about to grow, when it grows, when it will be unhappy or unhealthy next turn, and when it actually does. And there are some other things like when you have a stack selected the units icons have little symbols that say what they are doing, fortified, healing, etc.
But the big advantage for the ALC is the enhanced Foreign Advisor. The Relations screen is unchanged. And I don't think the active screen is changed much. But the rest are enhanced and there are some completely new ones.
Here are some screenshots from the 1358 AD Mehmed II save. The first is Glance:
On it you can see all of the relationship values for everybody at once. When you are actually playing you can hover the mouse over a value and see all of the components of the score.
The Resources screen:
You can see the resources everybody has available, current trades, any excess resources you have and how many of those. The how many excess you have shows up at the top if you have any.
The Info screen:
This is a new screen. You can get this info by talking to every leader, and then looking up their favorite civic somewhere. But this is so much easier and would be so nice to have in your state of the game posts.
The Tech screen:
This screen is not from the Mehmed II game. The Tech screen from that game was not all that interesting, for reasons we all know. This is from a game where I was playing Ragnar. This is all of the info that you normally have to display by clicking each leader in turn. And some more info that you would really have to think about to come up with. You have the techs that you have on each civ, that they could research. The techs that they have on you that you could research, split into ones they will and won't trade. Then there are the techs that both of you can research. In this example, since you can't research physics you can't tell if Mansa can or if he already has it. It really brings you up to date on the tech scene with just one screenshot.
To get the mod go poke around on the GOTM forum. Their save game download pages have links since you have to have it. Install it the normal way as a mod. Then go to the Mods folder in the Warlords folder. You will see the folder for the mod. In there is a folder called Assets. Copy that to the settings folder for Warlords:
C:\Documents and Settings\Your Name\My Documents\My Games\Sid Meier's Civilization 4 Warlords\ (I not sure about the name of the last folder, it's something like that)
There is folder in there called CustomAssets, if you have never done anything with this just delete it. If you do have something in there just rename it. Rename the Assets folder CustomAssets. If you don't want to run it, then just rename it something else, like HOFCustomAssets. If there isn't a CustomAssets folder then the game will make one when it starts up.