Migrating WP Install to Other Domain

UPDATE: I have fixed the URL page, post, image problem — my current issue is: there is something wrong with the WP installs style sheet, or style output. No matter what theme I upload and install (including the default theme), it still appears as a style-less webpage. Please visit http://www.forwardm.com for an example.

I recently moved a website from http://www.forwardm.ws/fm to http://www.forwardm.com but when I did this, the URL of all the content (pages, posts, images) are all still pointing to the first domain.

I will explain how I moved the WP install, incase this helps figure out the problem.

• I installed the plugin Snapshot Backup, which supposedly copied the entire WP install.
• I copied the backup and placed it onto the new domain/folder: http://www.fowardm.com
• After the transfer was complete, I checked http://www.fowardm.com and everything appears normal.
• Upon further investigation, I realized that any link on the website automatically took me back to the forwardm.ws/fm domain, instead of the CORRECT domain of http://www.forwardm.com
• Once I logged in, I went into the WordPress settings and changed the URL of the website under General settings to http://www.forwardm.com — the CORRECT domain — however, this only fixed the login address and admin control panel.

Is there a practical way to change all the URLs of the content to the new domain without losing any data? Is this a mySQL issue or WordPress? And by issue, I mean MY issue REGARDING either mySQL or WordPress.

Thank you in advance for your support.