It depends on what the dust bunnies are composed of. If it is something wet and sticky like pollen then it will be necessary to wet clean the sensor because pollen and other such organic things will literally become glued to the AA filter in front of the sensor. In a case like that, I use Sensor Swabs and Eclipse E2 fluid.
Some of the lower cost telephoto lenses are problematic as far as drawing dust into the camera is concerned. The reason is that they act like a bellows or a trombone when changing focal length and don't have effective dust seals to keep the nasties out. I once did a shoot at a location where lots of wood dust was being generated -- mostly from semi-green wood. I found out afterwards that the lignin in the wood dust is an extremely tenacious glue and it took multiple wet cleanings with the E2 fluid before most of the blobs of wood dust were finally removed from the sensor (actually the AA filter that is immediately in front of the sensor). There is no hope for cleaning the internal optics of the lens that I used, but fortunately it was the kit lens and also dust on the lens is not as much of a problem as it is when it is on the AA filter.