Larry's right, if it's a one time thing, use
mysqldump -u YOUR_DB_USER -p OLD_DB --no-create-info > SOME_FILE.sql
from the command line. Then, to import, use:
mysqlimport -u YOUR_DB_USER -p NEW_DB SOME_FILE.sql
To be sure you understand what's happening, check the docs first:
http://dev.mysql.com/doc/refman/5.0/en/mysqldump.htmland
http://dev.mysql.com/doc/refman/5.0/en/mysqlimport.htmlAlso, don't forget to create a backup of your new_db (by using mysqldump as described above, just without the --no-create-info)
Unrelated to your question, but you might also want to consider to upgrade your Django installation to something newer than 1.3 ;)