I'm also saving the little plastic bags which protect the morning newspaper at my doorway.  I untie the knot, and use one such bag as a receptacle to insert perhaps 10-20 more of them on ensuing days.  When I get a bag full of them, then I start another one.  After collecting perhaps 30-40 bags of bags, I put them all into a big plastic bag in the closet.  My plan is to use these bags of newspaper bags as packing material instead of using crumpled newspapers or the plastic "peanuts" etc.  So if I ever want to mail something fragile, or move to a different place, I'll have plenty of packing material.  But shhhh ... don't tell the fire department (nor city council, who might ban the newspaper bags or the saving of them).