Change datadir directory

Hi,

I would like to move my DBs in another directory.
I know that I have to change in my.cnf the datadir path ....

[mysqld]
datadir=/var/lib/mysql

-> datadir=/user/mysql/databases

now my question is, can I simple copy all my DBs to the new datadir,
and then restart mysql server ?
Or is there something to take care ?


Thanks a lot
JP