I need to move entire tables from one MySQL database to another. I don\'t have full access to the second one, only phpMyAdmin access. I can only upload (compressed) sql file
You say that you don't have access to the second server. But if you have shell access to the first server, where the tables are, you can split your dump by table:
for T in `mysql -N -B -e 'show tables from dbname'`; \
do echo $T; \
mysqldump [connecting_options] dbname $T \
| gzip -c > dbname_$T.dump.gz ; \
done
This will create a gzip file for each table.
Another way of splitting the output of mysqldump in separate files is using the --tab option.
mysqldump [connecting options] --tab=directory_name dbname
where directory_name is the name of an empty directory. This command creates a .sql file for each table, containing the CREATE TABLE statement, and a .txt file, containing the data, to be restored using LOAD DATA INFILE. I am not sure if phpMyAdmin can handle these files with your particular restriction, though.