How to transfer one domain to another domain without losing theme options (customizer)?

You can not replace the URL in the database using ctrl+f or any other “direct” method. You have to do a search & replace in the whole database in a way capable of keeping the validity of serialized data.

There are several tools to do that serialized seach & replace. For example:

  1. Plugins like Better Search Replace, Velvet Blues Update URLs or All-in-One WP Migration.
  2. WP-CLI’s search-replace
  3. Search and Replace for WordPress Databases Script

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