How can I see a progress bar when copying/moving files?

You can't with cp(1), but you can either:

You may want to use pv(1) since it's packaged for many systems. In that case, it's convenient if you create a function or script to wrap it.

For example: 

pv "$1" > "$2/${1##*/}"

This lacks error checking and support for moving files.

you can also use the rsync: 

rsync -avx --progress --stats "$1" "$2"

Please note that the "total" of files can change each time rsync enter a directory and finds more/less files that it expected, but at least is more info than cp. Rsync progress is good for big transfers with small files.