Is the power chip bolted to the heatsink? It's hard to tell from the pic how the chip is held tightly against the heatsink and grease.
Is the heatsink soldered on the backside of the PCB, or is it just mechanically held down (like with bent tabs on the underside of the pCB)?
That is single-sided, non-plated-through PCB material, and you have to be VERY careful doing rework on that kind of PCB. It is way too easy to de-laminate the metal traces and pads on the bottom side, if you apply too much heat, or apply some pulling force while the trace is hot.
For rework on that kind of PCB, I don't think I'd use a solder sucker, because of the added potential for delaminating the pad that you are heating. I'd use solder wick most likely (you can get wick of different widths at your local Radio Shack, Frys, or via Jameco/Mouser/Digikey).
A couple other tips... Often it is easier to desolder a joint (whether with wick or sucker) by first applying a little new solder with your iron. That is sometimes the only way to get a clean pad and hole again -- by re-soldering it a little, and then wicking or sucking the solder away. Another great tip if you are using a solder sucker -- use dykes to make two small cuts in a "V" shape on one side of the cylindrical tip of the sucker. The V should be about 2mm on a side, just big enough to fit the tip of your soldering iron into. Put the V cut on the same side of the sucker where you will be holding the iron when you desolder. You use this small access hole to let you put the sucker down over the pad while you are still holding the soldering iron on the pad (at like a 45 degree angle), and you seal the sucker tip on the pad and iron tip and whamo, suck the solder off of the pad while it is still being heated by the iron. This eliminates the possibility of the solder re-solidifying in the time it takes you to remove the iron and hit the pad with the tip of the sucker.