Hello,
There are many plugins to backup the site:
– All In One WP Migration
– VaultPress
– BackupBuddy
– BackWPup
The plugins mentioned above will backup your entire site, but if you’d like to export and backup just your Theme Option settings located in the Dashboard > Theme Options tab, then go to Theme Options > Import/Export > Options > download the export file. To import your backup Theme Options, find the “Import Options” section and click the “Import Contents From File” button and paste the contents of the .JSON file you’ve exported.
Regards