No, there isn’t a limit but depending on the time of year it will either cost you $2 per paper yardwaste bag (a sticker is needed on each bag), or it will be free.  The free period will be a limited time of six weeks in the spring and six weeks in the fall when FCC will run separate yardwaste routes that will pick up paper yardwaste bags and deliver the material to the Oma-Gro facility for composting.  You will note that only paper yardwaste bags are mentioned.  No trash cans of any kind will be allowed other than your official City of Omaha waste cart.