is spreading all over my garden and into my herb beds

It reminds me of some kind of salad plant. Not sure if this is edible or if I need to start pulling it. It does shade out the bermuda so that is a plus. It is spreading very rapidly across my wood mulch/soil this early (late March and early April) spring in the Piedmont of North Carolina.

Maybe Geranium carolinianum?

http://www.wildflower.org/plan...
http://science.halleyhosting.c...

Geranium was my first tbought.

If not Carolina Cranesbill (Geranium carolinianum) perhaps another N.C. Native:

Wild Geranium (Geranium maculatum)
http://www.ncwildflower.org/in...
http://uswildflowers.com/detai...

I think G. carolinianum looks right too.

Here's some good pics in our database: Carolina Cranesbill (Geranium carolinianum)

edit to fix link but now I see that Lin aready has the link posted.

And here's another low growing plant with similar leaves:
Winecup (Callirhoe involucrata)

Thanks. It looks like my bees will like this plant. I will keep it.

Flowers will determine the exact identity so watch for blooms. Now that I look more closely at the photo you posted, the leaves look too large to be the Carolina Cranesbill Geranium, at least the ones that grow in my yard have very small leaves. I think @wildflowers may be onto something with the possibility of the plant being Callirhoe involucrata. Although this map doesn't show it occurring in N.C., I wouldn't doubt it's presence in the area: http://plants.usda.gov/core/pr...

It is most likely Geranium carolinianum, but there is another that looks almost identical except for the flower color, Geranium dissectum.

Cut-Leafed Cranesbill (Geranium dissectum)

https://www.google.com/search?...