Moving WordPress to another sever

I’ve followed Jason Bobich’s excellent post on this and successfully moved two websites from one live server (my own where I developed the sites) to the clients’ live servers. But it took slightly more work than anticipated: once moved I found I had to go through the site’s pages altering the URLs for links within the site from the old file locations to the new ones. This applied to media and to pages.

Is there any way of avoiding this?

I did a successful find/replace operation on the URLs in the databases, using Dreamweaver.

Thanks.