my database files located in /var/lib/mysql which located in partition /dev/sda5

this partition is full (refer here for details)

so I'm going to move the location of database files from /var/lib/mysql to /home/lib/mysql

What is the right way to move this database files?

Im going to do this steps:

1. Stop http server and PHP
2. Change datadir=/var/lib/mysql to become datadir=/home/lib/mysql in /etc/my.cnf
3. move all database files to the new location
4. run killall -9 mysql, then /etc/init.d/mysqld start
5. Start http server and PHP

Is this right? Correct me if I'm wrong

added:

currently, mysql won't stop. refer here: mysql wont stop, mysqld_safe appeared in top