Good news that Alpha Centauri has a planet around it. Using the method they used to find the planet is useful for only planets close to the sun if I recall correctly. Point some powerful telescopes at Rigel Kentarus and they'll likely see more. The Space Telescope they have been using to find all these planets elsewhere is not pointed towards any of the nearby stars, unfortunately.
Stick telescopes at Tau Ceti (12ly) And Epsilon Eridani (10ly) while they're at it, that star is likely to have a full planetary system around it.
Well, most exoplanets have been found so far using ground-based telescopes, by more than one institution, though NASA's Kepler and ESA's Corot spacecraft have chimed in more recently. And no telescope is pointed in one fixed direction as you suggest.
There's more than one method of funding exoplanets indeed, and you're right that they all work better if the planet is closer to the primary - except for direct observation which isn't much of an option with current technology. And they all favour bigger planets to one degree or another. In addition, they select for orbital plane - in general it's hardest as the orbital plane gets more at right angles to our line of sight, easiest to see this with NASA's Kepler mission, as this relies on the planet dimming the star by passing in front of it:
http://kepler.nasa.gov/
With regard to Tau Ceti and Epsilon Eridani, they have not been neglected. Tau Ceti has a dust disk, but no planets detected so far. The exoplanet community was hoping a space mission would resolve more, but it's on hold.
Epsilon Eridani has not merely a huge dust disk - one gas giant planet has been found, along with evidence for two asteroid belts and a cometary belt. It's not going to be too pleasant around EE tho, there's a lot of small stuff whizzing around so an earth-sized planet, if it exists, is likely to get visited by a lot more dinosaur-killers. Not sure it's the right place to park Babylon-5...
By the way, I find this site handy for staying up to date on nearby stars including Alpha Centauri:
http://www.solstation.com/stars.htm