rsync is fast and easy:

 rsync -av --progress sourcefolder /destinationfolder --exclude thefoldertoexclude

You can use --exclude multiples times.

Note that the dir thefoldertoexclude after --exclude option is relative to the sourcefolder, i.e., sourcefolder/thefoldertoexclude.

Also you can add -n for dry run to see what will be copied before performing real operation, and if everything is ok, remove -n from command line.