They need deciduous sun. Sun during late winter, up til the trees leaf out. They won't grow well, probably not bloom, in full shade.

I want to move them to the front yard that gets shade/partial sun.

They should be fine in the sun/part shade.

A lot of mine are in the woods, but in the spring while they are putting up leaves and blooms, they are pretty well in full sun. Their 'growing' time above ground is what is most important to be in the sun.

Are they going to die (based on your experience, I know you aren't all psychic)?
No, they won't die, they are tough buggers. I'm surprised that they grew under the black walnut tree as so many things don't/won't.

chemocurl...aka Sue

Here is a link that might be useful: Black Walnut Toxicity to Plants, Humans and Horses