Wait two or three weeks and notice how many more dormant weed seeds might have germinated and till again. The least soil disturbance, the better. Certain noxious weeds, such as Johnsongrass, can be a big problem. Just ask most any farmer and he will tell you to spray it with herbicides. This is where you must decide if using chemicals to restore the environment is right for you.
Life is full of such duality.
Plenty of information is out there if you chose the chemical route. One thing I have noticed in my work is that introducing large numbers of native seeds into a weedy area provides some pretty tough competition for the weeds. In one field I planted a mix of eleven native wildflowers and buffalograss. This field had a history of cockleburrs, sunflowers and Johnsongrass. The first year the cockleburrs and sunflowers never even returned.