Cindy, we have the plastic bandettes also, the little boogers take them off from time to time. We leg banded the juveniles two days ago, last night two of the boys had there's off.
We use the plastic leg bandettes in green for girls and blue for boys.
Permanent banding is brass engraved wing bands. They are numbered on one side and have our farm name and phone on the other.
I would be happy to teach you have to apply the wing bands if you go that route. I like them because the birds don't bother them at all. I can look up a number and pull parent info, and I keep an excel spread sheet where I can note anything I want/need.
There are also solid metal leg bands, you squeeze them closed the end butt together. They don't easily come apart or come off either. Basically once on they are on.