Moving WordPress Site

I have a WP site which is mainly a photo gallery. The domain name I have is horrible! I am looking to use a different domain name and move the entire site over. I have no problem changing logos, headers or anything else associated with the old domain, but…

I have about 7,000 images up and running on the site. The way I did it was to first FTP the pictures, then click in the image icon in each post and placed the URL of the pictures there so that the image showed up in real size. I know it was time consuming, but I’ve only uploaded 15 images per day.

So now if I move the site, all the images will be pointing to the old domain. I know I could technically leave them there, but I would prefer to move everything entirely. Would there be an easy way to change the URL location of every image from domainA.com/images/ to domainB.com/images/ ?

Thanks much in advance!

-Jim