Here are the steps:

Exporting your WordPress files:

1.  Connect to your previous host account using your favorite FTP client.

2.  Once connected, browse to your WordPress folder and download all your files locally onto your desktop or into a specific folder of your choice. This includes files from your themes folder and plugins folder. Make sure to save the .htaccess file at the root of your WordPress site. Neglecting to save your .htaccess file will result in broken permalinks.

Exporting your database:

1.  Connect to PhpMyAdmin on your old host. Most hosting companies have Cpanel or a similar control panel. On the main screen, you should see a bunch of icons. Scroll down to the Databases section and log into PhpMyAdmin.

2.   Once you have reached PhpMyAdmin, you will see all your databases on the right hand side of the panel. Select the database that correspond to your WordPress install. It will load all your tables on the next screen. Click the export tab on the top and save to your local machine.