A peek inside proved too tempting, when the mama flew out in a huff. She cussed at me from a nearby tree while I craned my neck to peer down the nest's entry.
Well, years of working with wildlife has given me the experience to answer that question:
We shouldn't try to move it. We shouldn't take the eggs out. We should do nothing. And we will do nothing.
We might use a bit more caution on the porch, keeping light sabers, magic wands, and baseball bats away from the hanging plant. But that is it.
Living in the woods, we frequently see the wildlife that surrounds us, from unconscious opossums on the back porch to cicadas on our hula hoops. Wildlife and human paths overlap everywhere, even if we don't notice. (My grandma had a house finch build a nest in a plant on her porch every spring, and she lived in the middle of a city.) A nest inches from the front door might not have been the quietest spot for to raise babies, but she chose it. And mama wren knows a lot more about raising baby wrens than any of us ever will.
We'll leave her to do her job, and we'll just sneak a peek every now and then. After all, baby wrens are adorable!