I just wanted to share my experience with you:
I had to wear a patch on my "good eye" for about a year or so when I was a child. Honestly, I hated it.

It wasn't so much the patch, but the vision in my amblyopic ("lazy") eye was
so bad that I literally hurt myself. Not on purpose, but I'd walk into doors/walls, fell off my bike, things like that. I had no central vision acuity, and lost the best part of my periph vision. Imagine staring into the sun for a while, then looking straight ahead. You know that "black spot" left there by the sun? The vision in my bad eye is alot like that. My good eye was 20/20. I didn't wear the patch until right before I started K, so I'd had a good 5 years to compensate with my good eye.
I quickly learned how to "cheat" and position the patch just so that I could still see with my good eye, but it looked like I was wearing the patch correctly. I took the patch off at every opportunity. I did this because I just couldn't stand being basically blind. I would get horrible headaches.
In any event, at least for me, it didn't work, my lazy eye still has the exact same vision in it, or worse. My lazy eye's pupil actually turns in slightly (towards my nose), instead of out, so most people don't even notice it. My current optho said I could have the pupil centered for cosmetic reasons, but there is nothing I can do about the vision. I declined. She told me some people whose pupil drifts towards the outside will sometimes have the cosmetic surgery. I wear glasses (sometimes

) mostly for safety reasons- if anything happens to my "good eye", I will be essentially blind. So I'm supposed to wear glasses for the same reason people wear safety goggles. LOL
As far as how my lazy eye/vision problems affect my life now- well, I can't do those 3-D mosaic puzzle things, where you stare into the pattern and a "picture" floats up. Depth perception is sometimes a problem, so I'm just really careful when I drive at night. I wear my very fashionable safety goggles (when I remember!). Otherwise, it doesn't really affect me very much.
I hope things work out well for you and your little one! At 3, hopefully it will be more successful than my experience was. You've gotten some really good ideas here! Hopefully the vision in her lazy eye isn't as bad as mine is, and it will be easier for her to tolerate.
Good luck!
