Replicating a Wordpress website

Need to replicate my Wordpress website (it's not a blog actually, it's my company website) to another domain name, with all the links working for that new domain name. Eg [login to view URL] automatically redirects to [login to view URL] (After you are finished with this, we'll slowly start changing the new website to adapt it to our new company, while keeping the old website and company up and running.) Need a person who can give proof that they're reliable and can be trusted with passwords etc. Also need somebody who has experience replicating websites. Thanks!