Where in the United States are you? That could determine whether applying any organic food source would be possible around then. The current forecasts for around here are that there is a possibility of 3 to 6 inches of snow on the ground about them, or maybe it will be warm enough to melt what we have and will get by then.

I reside in Charlotte, NC. It doesn't get cold here til Jan or Feb.

Identifying your weed problem, whether annual or perennial is helpful in determining whether you need pre-emergent chemical or not.
In the cool season area I find it better to seed all the bare spots when ever it needs it. Grass really will germinate and thrive any time there is enough water and the temperature is good.

The problem with pre-emergent in the Early Spring is that it prevents grass seed from germinating as well, unless you pay for the expensive type that doesn't kill certain germinating seeds.

Except for Corn Gluten Meal none of the pre emergent "weed" controls are acceptable for use by organic growers.
In North Carolina you could put a good, organic plant food down until about the middle of December, even after spreading some synthetic fertilizer. Because many synthetics do have an adverse affect on the Soil Food Web I would wait several weeks after applying that material, and hopefully a few rains, before applying an organic plant food, however.