Ginny, there is actual bunny fence that you can buy. This is what it look like, but I've never paid that much for it.
http://www.tractorsupply.com/t...
Many people bury a tag along with the daylily, if critters are a problem. It kind of stinks having to dig up the daylily to find out the name, but you would have no more NOID's that way. Thankfully I've never had to do that!