domain names and name servers
I have a domain name for my professional business website. lets call it probiz.com (not my domain it's just purposes of this thread)
it goes to name servers ns1.probiz.com and ns2.probiz.com I have it registered at the same place I bought my VPS from (and my DNS server is on that VPS)
becasue of this particular host let my server go offline 3 times this WEEK (one of them was a brief downtime, none the less it's bad for business) I plan to buy a VPS from another company (who offers free domain names with their VPSs pretty cool) So i was thinking this would be the chance to buy a personal website domain name I've been considering buying, becasue it's free ya know. lets call this personalsite.com
all the contents and uses of my old VPS wil be transfered to my new VPS (and it will be used for both my personal site and my professional site (my personal site will receive little to no traffic it's just for the purpose of showing PHP script examples I've made to people etc)
this VPS will run a DNS server, Mail Server, and Web server. Usually when you don't transfer your domain the other option is to update your name servers of your domain or whatever. In this case I'm making a new domain and updating the name servers of my old one. the thing is I don't want it to be like this.
I want to keep probiz.com going to ns1.probiz.com and ns2.probiz.com and personalsite.com going to ns1.perosnalsite.com and ns2.personalsite.com (even though they would be going to the same VPS)
my reasoning is their totally seperate websites. I don't want people to see either of them on eachother's whois lookup etc. I don't want to have any affiliation between the two.
Is it possible to setup my DNS server this way? or what has to be done to do this properly?