I've ran a small hosting company, however we decided to change the company name because we wanted to separate hosting from the other services that our company do. So we already chose new name and I have a few questions that are not exactly clear to me:
1) We own an IP network /24 which is controlled by ns1/ns2.olddomain.com. Is it okay just to change the hostname of that server to the new domain? I am aware that I have to change all clients nameservers to the new ns1/ns2, but should I contact my datacenter about the hostname change? I think they somehow mapped the IP network with those DNS servers.
2) Is there anything that I forget about such move?
If your using cpanel you could enable feature in tweak settings called shared nameservers. which you could then keep the old ones and create new nameservers just an idea. I think you could change your hostname you shouldn't have any issues.
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1) We own an IP network /24 which is controlled by ns1/ns2.olddomain.com.
Own as in direct allocation/provider independent space? Or you lease from data center?
If it's the former you need to simply login to ARIN's site and update the DNS to your new domain names. If the latter then you need to contact your data center for help so they can make the adjustments for you.