Starting with new satellites with better clocks. Accurate clocks are pretty important for the whole GPS thing to work, and improving their accuracy will significantly cut down on systematic errors, greatly increasing precision. The article does mention that the new satellites will triple the available signal, but not if that is due to more satellites in the constellation. I'm assuming that since they're slowly swapping them out one at a time that your current receiver should be able to pick up the new satellites. I'd guess that once enough of the new ones are up that you'd need a new receiver to take full advantage of the new signals. Sounds like it's going to take about 10 years to complete the upgrade though.
Of course all the articles I can find just keep rambling on about how the financial world relays on GPS... Seems Wall Street likes the insanely accurate clocks. Makes sense I guess, I just never heard of that use for them, we tend to concentrate on the geographic aspects of the system in all my classes.
Combine this with the supposed GPS logging of "doorsteps" during the current census (I don't think they're actually doing doorsteps, just a much more accurate log of street addresses) you can either put on your tinfoil, or revel in the fact that the Garmin or TomTom in your car will actually be able to tell you where a house is, instead of getting you within a couple blocks (it's not that the GPS is off, it's the current database. They just kind of arbitrarily distribute the numbers along the street since nobody's actually taken the time to collect the data till now.)