Do you currently have your website at http://www.vanderbilt.edu/yourlabname ?
If you would like to keep this address — and have it point to your new website on my.vanderbilt.edu — simply fill out a help desk ticket to set up a REDIRECT.
e.g. Please redirect http://www.vanderbilt.edu/joesbrainlab to http://my.vanderbilt.edu/joesbrainlab
If your current website is a .com, please open a ticket with us.