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Those white ones look like "Granular Puffballs" (Arachnion album), but the Audubon guide says they grow in Eastern North America, especially southeast. I don't know what the bigger one is though. Was it growing above ground? or was is partially buried?
It looks like either Western Rhizopogon (Rhizopogon occidentalis) or Stalked Yellow Trunc (Truncocolumella citrina). Since, to me, it looks like it had a stalk that was growing below the surface of the ground, I will take a guess that it is the Stalked Yellow Trunc.
Stalked Yellow Trunc: As this underground fungus develops, it bursts through the surface and is often seen partially exposed.
From the Audubon Field Guide: "Most true puffballs are choice edibles when young."
From my experience with the Purple-spored Puffballs (Calvatia cyathiformis), that I found a few weeks ago on the UW campus, they are pretty tasty.
As far as I know, they don't have any toxic look-alikes.
Those look like standard edible puffballs. Make sure you cut every one of them in half vertically so you can verify that none of them are Amanita buttons. You are also checking for a thick tough skin or color changes. A good puffball should be solid white all the way through, like the one in the last photo.
I've eaten several kinds of puffballs, and they're all more or less like tofu - they don't actually have much flavor. They pick up the flavor of whatever they're cooked with.
As for your other mushroom, we need more description to ID it.