It's real difficult to advise you what you should do without knowing what you want to do.
DO you know what the weeds are? Do you like or know if you like wild greens? Some weeds are good to eat and good for survival food.
One mans weed is another mans delight. I for one love wild stinging
nettles. I also keep 'weeds' like Sun Choke, asters,
milk weed, hops, as well as
medicinal herbs...especially plantain.
By killing the weeds you may also be destroying a habitat for another living thing... I mowed an area at my place that had been a wild area forever. This allowed raccoons to get around easier and come to find out it was an area that protected a breeding ground for wild geese.. the raccoons easily found the geese eggs and the geese died trying to protect their eggs.
The place where wild weeds grow can sometimes be the best spot for a garden. The cycle of growth and pushing
roots down into the soil then the plant dying off and decomposing can make some really good soil.
What you should do really depends on what you want to do.
If i ever wanted to turn a weedy area into garden or lawn, I just wait til spring and mow the weeds. Mowing will keep the weeds small and allow grasses to compete and grow usually. Or after mowing you can till the area for garden. Or a thick layer of mulch will also kill the tiny spring weeds.