In everyday use, I just use dishwasher soap. If something needs better disinfecting (incubator or cages that I'm putting new birds in, something like that), I use nolvasan, which is a wonderful gentle disinfectant my wildlife rehab group uses. I've even used it on the infected eyelid of one of my chickens and it caused no damage whatsoever to her eye. It's great stuff! Perfect for cleaning cages and wounds and whatever else.
In the case that I'm dealing with actual disease (not usually involving my flock, more generally wild birds I'm caring for and I don't want the disease to pass to my flock) I use the 1/10 bleach solution in a spray bottle. So far, so good! I've dealt with some pretty terrible deadly diseases in rehab birds, and neither my house birds nor my chickens have gotten so much as a sniffle.