Hello, and thank you for choosing JUSTANSWER.com
I would love to help you in this matter, as i used to work for a Web and Domain Hosting company, which also offered free website creation, and maintenance.
However, i think i need some more information first....or to better understand your question.
What i understand this far, isn't much.
You want to move a site that you have given/offered for FREE (to a client of YOURS, but was actually hosted on Business Catalyst on YOUR account).......and move the site to a different account on business catalyst, but you dont want to charge YOUR client the FEE's? This is where im confused
Why cant you just open a new account (using all your Client credentials and CC number, and name, and personal info) FOR YOUR CLIENT, and then upload the site contents to the NEW account. You don't have to MOVE the site...if you have all the site files that you created in Adobe Muse.....Right? Then turn over all the necessary information to the Bus Cat login.....and done.
Unless im missing something?
So...who manages the DNS? Do you have to put in a request to have a DNS record changed? Or are you able to make DNS record changes?
You need to change the DNS record for the DOMAIN NAME, to point to the NEW location for the Website files on the New Hosting Company Servers.....RIGHT?
The Domain name itself, was already purchased (normally for a year) and is currently pointing to YOUR FREE Beta Site Server....where the Webiste files are living.
So....first thing is to MOVE or COPY or HOWEVER you get the website files OVER to the NEW hosting company Servers. Then Change the Domain Name Record to POINT to the NEW hosting Servers. Sometimes can take a bit of time to populate across the internet...so wait 24 hours before taking DOWN or erasing the OLD website files off the OLD server (YOUR Beta Server)