If you live in the city of Annapolis, they do have plastic bins for your yard waste. You have to go pick it up, and they're subject to availability.
The paper bags break down naturally, helping to reduce the cost to process the waste. Maybe that will help bring our refuse bills down! :-)
The paper bags can be found at many local stores and are very inexpensive. They're 10 bags for $3.99 at the True Value.