Good luck and post pics! There's a "Show your LeMond" thread over in the Road Cycling forum that has lots of great bikes posted, but can always use more.
I'm currently working on a '99 Tourmalet build. I have pretty much all the parts, just need the time to put it together. I scored a near-complete, like new Campy Record 9-speed groupset off craigslist for a good price. That can be a good way to get parts if you live somewhere with a lot of road bikers, though you need to be savvy enough to assess the condition of parts yourself or you could get taken advantage of. I think now is a great time to buy higher end 9- and 10-speed stuff, since it's neither the "new hotness" nor is it old enough to be "real vintage," so I've definitely seen some Ultegra, Chorus, and even Dura-Ace go for nice prices. If you want Record of that era, I still think the price is as good as it's ever going to be, but... you definitely pay a price for being a snob. I should know, since I just paid it.