What is the difference between ns1 and dns1 while assigning nameservers for a domain?

I have an old reseller account with a host and I am selling virtual hosting accounts to my clients from this account, they are using the following name server to access their site.
ns1.myname.com 119.201.214.112
ns2.myname.com 119.201.214.113

Now I have purchased a new [second] reseller account from a different host, and wants to sell plans from this server, so I have assigned 2 more new nameservers to my domain as follows. Here I am using dns1 Instead of ns1 and the same domain but the new IP addresses provided by my new reseller:

dns1.myname.com 64.157.52.101
dns2.myname.com 64.157.52.102

When I create a virtual host for one of my client on the new server, I will tell them to point their domain nameserver to the dns1...... same as if I sell a plan on my old server they will use the ns1.... nameserver

Is this the solution? Will it work? any suggestions please?

Yes, that would work fine. If you want your customer's site on host1, you tell them to use ns1 and ns2 ...if you want them on host2, you tell them to use dns1 and dns2, etc. There is no difference other than they point to different servers/companies. :)

For consistency you should probably have named your new name servers ns3.yourname.com and ns4.yourname.com, but it really doesn't matter, you could choose mickey.yourname.com and mouse.yourname.com and they would still be valid.