A 20+ year old Fuji with nutted hubs is going to be a heavy bike. You can easily find a new bike that weighs around 10 pounds less. The question becomes "How much are you willing to pay?"
The good thing about the Fuji is you already own it. My advice is to ride it for a month or so until you figure out what you like and hate about it. Then buy a new, lighter bike that maximizes what you like and minimizes what you hate.