Trimec is able to kill many weeds and may certainly control the wild strawberries, however it is not labeled for it, so we cannot tell if you for sure if it will work since it has not been tested on the plant. Most products that contain 2,4-d would likely control the strawberries without harming your grass but any product you choose to use you will want to ensure cool season grasses are on the label.
Southern Ag Lawn Weed Killer will treat for velvet leaf. Be sure to check the label to make sure your turf is tolerant.
