If you don't want glowing eyes, don't use the flash. You will need lots of light from a different source though and is hard to achieve in the house. Photos with natural light taken outside are always the best. I find flash photos are never flattering, for people or dogs. The fur looks too shiny, the eyes glow, the camera picks up micro dust floating in the air and there is too much contrast. You did get some good photos though and those are the ones that have the natural lighting.
Like others said, you can do some work in Photoshop if you have that program.
Enjoy your pup!
