I would be interested to read about common weeds that you can eat @Kiwifr33. Feel free to rant away!
Be careful using LARGE amounts of black plastic in the garden. It used to be done a lot but is not so common now. Black plastic stops water and air getting into the soil underneath so it's not good in the long term. Small bits around plants is fine though mulch mats or weed mat is better.
Newspapers are a good option for larger areas and it's good recycling.
We have had the best tomatoes ever growing from under black plastic, it stays moist all year round, maybe because our land is on a slight slope. Was there when we bought the place but its only a very small garden with rocks over the top of the plastic, I was surprised to see them grow every year by them selves.