I find the longer my cookies are not in an individual bag, the less fresh they taste down the line. I let everything dry completely, bag them, and then I put all of the bags in large inexpensive cake carriers (I have 4 of them just for this) so they don't get knocked around or slide off the table (the bags can get slippery). If I bake the cookies and don't decorate immediately, I store them in the cake carriers with wax paper between layers of cookies. I never put anything iced into the refrigerator, no matter how they are packaged/stored.
The freshest tasting cookies are those individually bagged as soon as dry. I think the icing gets harder too when they are unbagged. All IMHO!