This article explains how to upgrade the hard drive on the Sony PlayStation 3 to create more space. The instructions refer to the original Sony PS3 model, but the process is similar for all PS3 models.
PS3 Fat Hard Drive Upgrade 1TB + Slim & Super Slim Guide
Upgrading your console hardware will void your warranty, so do so at your own risk.
Connect a USB hard drive to the PS3. The PS3 system software should automatically recognize the external hard drive.
Locate the media on the PS3 that you want to back up and copy it to the USB drive. Your console settings, online IDs, and other important data are stored on the PS3 flash memory, so you don’t need to copy this content. Move all of your game content, including your PlayStation game saves and other media such as images, videos, movies, and trailers.