Q.What Is The Best Way To Kill Weeds That Have Taken Over My Very Small Back Yard (approximately 16’ By 20’)?
It has/ had tony white flowers and is about a foot to one and one half feet tall.
Certified GKH Gardening Expert
If they are in your flower beds, it's best to dig them up. Once they are gone, you can sprinkle on a weed preventer for the flower bed. Mulch also helps.
If they are in the lawn and can be mowed, you also can apply a selective herbicide to kill them. If they are at the end of their life cycle, i.e., are going to seed, spraying with an herbicide is not very effective. They need to be sprayed when they are young and growing.
It could be Florida pusley. This article should help:
https://blogs.ifas.ufl.edu/sarasotaco/2017/12/04/florida-snow-lawn-weeds/
https://gardeningsolutions.ifas.ufl.edu/care/weeds-and-invasive-plants/weed-identification.html