Migrate your WordPress with any WordPress import/export tool. Part of map settings is stored in
wp_posts table (note: you may have a prefix different from "wp_") - so this step migrates that part;
Manually copy all wp_mapsvg_* tables from old server to the new one via phpMyAdmin
If WordPress on the old server was installed in a /subfolder and WordPress on the new server
is installed in the root - you'll need to fix the SVG file path:
Open your WordPress MySQL database in phpMyAdmin
Find a table wp_posts
Find a post with ID = your map ID
Edit post_content field. The field content is long so it may be easier to copy the content to a text editor.
Search for a word "source". SVG file path goes right after it.
Remove the subfolder from the filepath and save the content back to post_content field.
If you uploaded custom SVG files - upload them again to the new server by clicking "Upload SVG file" button on
MapSVG initial screen.
Or copy the files manually via FTP from /wp-content/uploads/mapsvg folder to the same location on the new