Second the opinion that the traditional basic advice is not very good. Most people who followed that have gotten burned pretty badly in the last year and are back to where they were ten years ago.
Many on this site will tell you to invest in stuff like gold, or commodities, but I will tell you that all of these things have their own set of risks which you need to carefully evaluate. And remember that with any wall street investments you’re swimming in a sea of sharks.
If I was you, I would keep my current savings in cash (bank money market or short term CDs) and start to pay very close attention to investing. Our financial system is still very shaky, and any investment could turn on you. There’s so much risk, that whatever you invest in now, might not be such a good investment in the near future. Paying attention will be critical in the near future.