imported wordpress blog – but pictures?

I have used a blog in WordPress MU environment with my webhost. Now I have installed a manual version on my own and have imported all the data from my old blog, but the problem is the pictures. I can have the pictures downloaded and added all right (as “attachments”) but the reference to these pictures is still static to my old blog. So, embedded in the post-text field of the database is the image adress for each image “https://oldblog.domain.com…” but the blog with its downloaded images are now at “https://newblog.domain.com…” so I wonder if there is a simple way of updating these, like a “replace all” function or something… surely other people have had the same problem in importing a blog?

Mattias