Step 1.
Copy site files via FTP manager and export database useing phpmyadmin. To do this see also http://www.joomlahow2.com/how-to-backup-joomla-site/ . If you copy files to localdrive you will need to upload files to new server, also using FTP manager.

Step 2.
Import database using phpmyadmin. In phpmyadmin click on Import.

Browse for your database and click on Go button.

Step 3.
Modify configuration.php file and  set the new values.

$host – Usually it is se to “localhost”
$user – This is a name of your database user.
$password – This is the database user’s password.
$db – This is the database name.
$tmp_path – absolute path to the tmp directory on your server, for example  “/root/site/joomla/installation/tmp.”
$log_path – This is the absolute path to the logs directory on your server, for example “/root/site/joomla/installation/logs.”
$live_site – URL of your site. For example “http://www.joomlahow2.com”.

STEP 1.
First, copy data from server. For this you can use some FTP agent or Total Commander(TC), in our example we will use TC. In TC go to Net - FTP Connect… and click on New connection… button. Fill the  a, b, c and d field with data given by your host provider and than click on OK. In Connect to: panel select your server and click on Connect button.

STEP 2.
When you reach server space select all joomla files from server and copy to your local drive

STEP 3.
Now you will need to backup database. For that purpose we will use phpmyadmin. To reach phpmyadmin use datas given by your host and log into phpmyadmin. When you do this in left panel select joomla database that you want to copy to local drive. After that click on Export.

STEP 4.
In the bottom of the page check in Save as file, select option “zipped”, click on button Go and choose location on local drive where you want to save database.

Finally, you will have backup of your site.