^^^^^ "Peanut butter", as a friend who used to work at an LBS here would call it; almost the same color/consistency, and just what you'd expect at 10-12 years. Marine bearing grease is waterproof, cheap, and easily had at any hardware store / man-mall. That's where I'd start, esp. if it only feels a little stiff, and not gritty or notchy.

Do you have a bike co-op where you live? If you don't want to invest in tools just yet, but want to get your DIY feet wet, this would be a good starting point. Co-op / "kitchen" should have a nice stand you can use, the right wrenches for the upper race and lock ring, and someone willing to walk you through it.