Theme settings are not the only thing you might want to transfer. If your WordPress site uses widgets extensively, you'll want to transfer them too.

Install the Widget Importer & Exporter Plugin:

• In your WordPress dashboard, go to Plugins → Add New.
• Search for Widget Importer & Exporter.

• Install and activate the plugin.

Export Widgets:

• After activating the plugin, go to Tools → Widget Importer & Exporter.

• Click the Export Widgets button.

• This will generate a .wie file, which contains all your widget settings.

Import Widgets to Another Site:

• On the new WordPress site, install and activate the Widget Importer & Exporter plugin.
• Go to Tools → Widget Importer & Exporter.
• Click the Choose File button and upload the .wie file.

• Click Import Widgets. Your widgets will be transferred to the new site.

Other Worpress Articles that may be interesting for you:

• How to Import and Export WordPress Theme Settings
• Database Theme Options Export and Import