Here's how I would do things.
Create a sql dump of the production data.
Create backup of data folder in your web root.
On new server unzip machforms install files (from source) (make sure that its the same version as the old server otherwise you will need to use the upgrade.php file.)
Import data backup folder
Create new database in mysql.
Import the dump
Either keep the config.php file the same or update it to reflect any changes you've made in mysql. (I prefer to change credentials, but that's just me.)
Then run the regular install documentation.