deadsea - 11:52 am on Jan 31, 2013 (gmt 0)

Just changing on the pages but keeping everything else the same should be a small enough change that the Google still sees the content of the pages as being the same.

When they are talking about a redesign, they are talking about switching CMS systems, using a new template/skin, or applying different colors and designs. Again, if you are just re-branding without changing anything other than the name, I don't think it will be a problem.