Your Henbit. My chickweed.
I am near Houston Zone 9a and it looks the worse this time of year only because my lawn has not come in yet. We've had a couple of gorgeous days and took advantage of near scalping my lawn. The mower had one more lower setting and the only reason why I didn't go lower is because the lawn is drenched from the rain. As it was I was making divots in the soil.
But I cut off the heads of my Chickweed and everything else unwanted hoping to keep it from reseeding. More rain is expected this week. Will apply a light 15-15-15 to get the lawn going. And then in 3-4 weeks will green it up with something stronger. Once I get St. Augustine growing, it tends to choke out everything as long as I keep it healthy. Crabgrass seems to be the only thing that will suck up the lawn as it grows. In a nutshell, get your lawn healthy, have less weeds.