I recently set up a Gmail account for my new business. I purchased @mybusinessnameone.com
but now I would like to change it to @mybusinessnametwo.com
or keep both if they can feed together.
Can someone tell me how to do this?
I am assuming that you are talking about a "Google Apps for Business" account.
Not clear if the first domain (conquerlogistics.com) has been associated with the account or not. In either case, the procedure to do this is a bit lengthy to describe here. See Google Apps Help for details.
Google Apps accounts allow you to define a "domain alias" (inside the "Domains" area of the Admin Console), which will allow you to simultaneously associate one or more additional domains (such as "conquer3pl.com"). See the documentation for details.