Basic linux question - copying

Hi, I have a directory under the /html root of my web server, and I'd like to simultaneously copy recursively this directory and rename it to the same /html root. I understand that I can first create a new directory, test1, and then cd into the directory I want to copy recursively and do cp -R * ../test1 but is there an easier way? Someting like copy -R source-folder-name new-folder-name ? Thanks in advance,