The seed pod that flies everywhere when touched is called a silque, a long, narrow pod filled with tiny seeds.
Thanks to Virginia Tech for their Weed ID Guide, which is browsible by first letter. If you don't know the name of your weed, you might do what I did and start with A and look until you find a name that sounds promising. Bittercress sounded good because the habit of this plant is similar to the hateful summer weed, Chamberbitter.
I try to recognize these plants and pull before they develop seeds, which happens rapidly in the mild weather we're having now.
Here's the link to a Florida Weed photo site.
Top Ten Nasty Weeds
What are your worst enemies, weedwise?
Secrets of a Seedscatterer