Moving domains, web sites and databases from one server to another

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Job Description

We're moving hosting company for a dedictated server that hosts 1 major site, and a few very small. Currently all are on one dedicated CentOS server and is going to be moved to another Linux server. The current server is using Webmin.
Setup domains on new server, setup databases, transfer the web files, transfer the mysql files, import mysql, then we change the DNS.