handling absolute paths when transferring to new server

[AIS_Guy]

Good day. If I have a site on one server like so:

http://mydomain/clients/clientname/WP_files

and I want to transfer the site to a new server under the domain:

http://newdomain/WP_files

I see this guide to follow: http://codex.wordpress.org/Moving_WordPress
However, what about when I have to use "absolute" image paths in certain plugins like

http://mydomain/clients/clientname/wp-content/themes/clientname/images/image1.jpg

. Do I have to go in and change all the absolute image paths to this

http://newdomain.com/wp-content/themes/clientname/images/image1.jpg

Or is their an easier method?

Thanks.