deployment

I was reading the site builders guide to Git (http://drupal.org/node/803746) and had a question about renaming remotes across all environments. The guide indicates to only rename the remote on your local development environment to point to your new repository.

When I update/commit/push to my new repository everything is fine, but when I pull to my development or staging environment and run git status, I get a notice that my branch is ahead of origin/xxxxxxx by 3 commits.

Should I rename the remotes in all environments to point to my repository as origin??

Sorry for the newbie question.

I've been working on a website for our company for a couple of months now from the hosted server, but have not set up the domain name yet, so the only way to find the site is via the IP address.

But in the final stages, I need to have the domain name set up to test some of the features (SSL, Google analytics, etc...).