Dollar weed is taking over in my Bermuda lawn. How can I get this under control?

If you stop watering, the bermuda will likely survive and the dollar weed will not. Dollar weed is many different plants all with the same common name. My neighbor calls dichondra dollar weed. I call henbit dollar weed. Neither one is very drought hardy. I pull my henbit because it is extremely shallow rooted. Dichondra has runners but they pull out easily if you have not let it become a nest of runners under the grass.

Dollar weed is prettier than Bermuda!

This is my 2 cents worth on how I got rid of dollar weed:
In my lawn, at my vacation home on Galveston Island, I had over 50% dollar weed in the St Augustine grass. The dirt doctor and others may not agree with this but, ever since I have have been picking up the grass, rather then mulching it, I have noticed there is no longer any dollar weed.
Also the St Augustine grass is much thicker. It may because they get much more rain then we receive in the DFW Metroplex. Don't worry, the grass is brought back home and either put in the compost bins or spread on the garden. I will never throw away a free fertilizer, plus it is a valuable ingredient to the compost. I was down this weekend and cut my grass, between the rain storms. I did not see any dollar weed. I have never fertilized or watered this grass.