Transferring Data from old to new PS3
The PS3 system software has a built-in function that makes migration to another system easy and safe (no loss of save data or user data) It can be done using one of the following 2 ways available:
the backup and restore utility uses an external USB drive that is formatted to FAT32 and creating backup data that is restored on the new system. Official documentation for this process is available at this link
the data transfer utility uses an Ethernet cord to directly connect the two systems together and transferring/moving most of the system data over to the new console directly. Official documentation for this process is available at this link
Both of these processes are started from the system settings in the settings section of the XMB ( system menu)
Keep in mind that both processes completely wipe the system the data is being transferred to before the data is transferred.