Transferring WordPress from one host to another is easy and consists of three steps.It involves moving the files and moving the database. The third step of reconfiguration must be done only if needed. File transfer can be done using the reliable FTP client. If cPanel option is available, it is possible to create a ZIP file for transferring all data in one simple step.
For moving the database , first export the database from old account ,create a new database on the new hosting account and import the content. Now, open the wp-config.php file in your WordPress root folder and find the lines needed to reconfigure to complete the transfer process.