Multisite development domain changes — go-live process?

I’m currently developing a multisite (using subdomains) for a client, and the files are on my hosting account. So the addresses right now are something like http://www.clientdomain.mydomain.com (for the main site) and then subdomain1.clientdomain.mydomain.com and subdomain2.clientdomain.mydomain.com for the subdomain sites within the network.

I have access to the hosting location where the new multisite will live. The client has a site currently posted at http://www.clientdomain.com, though, so their tech person purchased http://www.clientdomain2.com for us to use during development, pointing it to the client’s hosting location (and then when we go live they’ll just point the actual domain http://www.clientdomain.com there instead).

So my question(s): How do I work with this? I can set up the multisite network on http://www.clientdomain2.com, but what’s the procedure I should follow when we’re ready to go live, since there will be instances of http://www.clientdomain2.com throughout the site.

Do I just pretend I’m moving the site, and follow the second paragraph in these instructions (as if I were changing domains), but just skip the part where I move the files?
http://codex.ww.wp.xz.cn/Moving_WordPress#Moving_WordPress_Multisite

(And if so, is the part after the third paragraph (“Also manually review all the wp_x_options tables and look for ‘three fields and edit as needed:”) for me, too, or is that just for when you’re moving from one folder to another?)

Thank you so much for any advice/guidance on this.