If you can do it, the best way to move the data is to catalog the remote DB2 z/OS database from a Linux or Windows DB2 client and export the tables in IXF format from the client. You may have to do a remote bind of DB2 client CLI and utility packages to the DB2 z/OS subsystem (use the Configuration Assistant).
For the DDL, I would see if there is a tool you have z/OS that will recreate the DDL and then you can manually make some minor changes to tablespaces, etc. However, the IXF files will create the tables for you, but not any indexes and maybe not in the tablespaces you want.