Red Eye is perhaps the most annoying thing you see on the photograph. The one way I know that would definilty get rid of it is not to use your flash. I know most of people use the automatic camera which you can not get rid of the flash option. Try to shoot photographs in a lighted situation where it would elimated the use of flash.
If you have to use the flash, I don’t know if there is a sure way to elimate red eye effect. There are cameras out that says they have red eye reduction where you won’t get that on your photograph. I’ve seem those before and it still does it occassionally. One other thing you can do is to use the red eye reduction pen they sell in most specialize photography equipment stores. You can pick one up very cheap and it will elimate the red eye effect. It works well on non-glossy photos. But if you have glossy photos, it might not be your best choice.
If you use digital camera, somehow the flash doesn’t not give the photo the red eye effect as much as the regular film based camera. That might be one of your choices as well. But I have not try out all the different digital camera, so far that’s commented from my experience and hear-say.
You can always scan it in the scanner and elimate it through a computer program and print it out again. If you want to, there is always the option of those Kodak picture maker you see in Walmart and Savon. You can scan it in there and remove the red eye with their picture maker and print out the photos again without the red eye. Even though it cost about 6 US dollars, it gives you a 8x10 dye/thermal print that will last you as long as a printed color photograph. If you decide to use that, there’s also the Fuji ones on the market. The results are the same except Fuji charge you twices as much then Kodak.