This plugin allows you easily export and import Customizer settings.
To make export/import go to Settings – Customizer EX page.
After activation current customizer settings will be saved at file theme_mods_themename.txt in ‘/wp-content/uploads/’ directory.
If after file upload and import you see message ‘Error import data!’ check your file permissions. It must be 0755.
Unzip plugin files and upload them under your ‘/wp-content/plugins/’ directory.
Activate plugin at “Plugins” administration page.