No suggestions here (most pictures of me are taken from the back or with dark biking glasses - no red eye!!)

It could be an interesting comparison to see your possessed and flame shooting  shots side by side! 

I have Photoshop... for me it was inexpensive and I didn't have to go to a class or read a manual. I just played around with it and learned a lot. Guess it depends where you live 

GIMP (www.gimp.org) has most of the power of photoshop and is free. I use it all the time myself and we use it at the school for computer graphics work. Working carefully, and at a high magnification, you can paint in black (or very dark grey is often better) over the red bits.

The best way to reduce red-eye in pictures is to not get it in the first place of course; as you know that's the light reflecting off the blood vessels in your retina you're seeing and that's caused by the light going straight into the eye from the flash gun. Your pupils are dilated, because it's dark enough to need flash, so the redness is big. That means avoiding the dreaded on-camera flash gun. Either work with natural light, or put enough other light sources in the room that you don't need flash. If you've got a film SLR with a hot shoe for the flash, buy a flash bracket so the flash sits off to one side of the camera (bounce it off a sheet of card if you can)

You're welcome, and tx for the welcome..