Problems moving/installing new website

I am trying to move a website from one server to another.

I am using Snapshot from this site.

But, in order to move the site, I have to create a new site on the new server, then "restore" the site on the new set up.

I am having problems just getting the new server to get set up.

I have tried 2 scenatrios, and both geive the same result:

1 - fresh install of the same version of WP.
I then change the wp-config file to reflect the values of the ftp and DB users on the new server. It also includes the MU set up that is needed for a MU site.

2 - I just copy the old site (with out the DB) to the new server. I update the FTP and DB users/PW info.

I get the following error:

The page isn't redirecting properly

Firefox has detected that the server is redirecting the request for this address in a way that will never complete.

After I enter the website and Firefox produces the error, I get the in the space where you enter the URL, I get the following:

Can someone point me in the right direction as to why I am getting this?