Herbicides should only be considered under the direst situations when hand tools alone are not sufficient to control spreading. There are no safe herbicides. Organic herbicides may emit hazardous odors and can damage skin or lungs. Systemic herbicides may have long term health risks.
Read all labels carefully. Wear protective gear as specified by the label. Apply only during calm mornings when there is no breeze. Do not apply when other gardeners are within a plot range. Apply by hand if possible or if using a sprayer, keep low to the ground.
Pre-emergence herbicides are not allowed in the garden.
This article from the University of North Carolina discusses many alternatives to the most common herbicide glyphosate: https://content.ces.ncsu.edu/are-there-alternatives-to-glyphosate-for-weed-control-in-landscapes .
Vinegar needs at least 20% acetic acid to be an effective herbicide. It can usually be found with cleaning supplies. Can be hazardous to skin and lungs.