Hello SSB,
It is correctly mentioned by Ian, using RSA1 -> Transport Connection -> Selecting the Object Type of Process Chain (RSPC) to create the transport.
I am trying to detail about small issue which needs to be taken care while creating the transport for process chain.
As process chain in APO can contain various steps like -Infopackages, DTP, macro jobs, Program variants etc. Many times, all other objects are already transported to target system or part of another transport and you do not want to resend or include these objects again in your transport for process chain.
You can avoid this unnecessary objects by clicking in Grouping > Data flow before & Data Flow After . For example you already have infopackages in your target system but not process chains & you only want to transport only process chain without any other objects like Data Transformation or infopackages . You can choose before or after option
Also right pane of screen next to "Grouping" button, you have button with a name package, you can use this button to add objects into correct package name. I think $TMP which you have mentioned is local package.
Another suggestion, while Creating the TR some objects may be in use or locked in other TR so first release them by using Tcode Se03 ,using Unlock Objects (Expert Tool) option.
Hope this will help.
Thank you
Satish Waghmare