Most non-hazardous household junk, renovation debris, furniture, and yard waste can go in a roll-off dumpster. The short answer: if it's solid, non-toxic, and not specially regulated, it probably fits.
The exception is hazardous, liquid, or regulated materials: paints, chemicals, tires, and similar items usually can't go in with regular debris. Whether you're clearing out a property in Monroe, tackling a renovation in West Monroe, or managing a cleanup project anywhere in Ouachita Parish, knowing what's allowed before you load saves time and headaches. When in doubt, call ahead.