Hi Zascar,
in general you proceeds as described here https://www.ads-software.com/support/topic/plugin-podpress-migrating-podpress-within-a-domain
To transfer only the statistics, you need to export the wp_podpress_stats and wp_podpress_statcounts table of your current blog and import them into db of your new blog.
There is no function in podPress nor in WP which does that. But there are several plugin which can export and probably also import custom db tables.
Sometimes the hosting providers offer an web interface like phpMyAdmin to manage the data base(s). You could use also such an db interface to accomplish that.
Be cautious while using the WP Importer Plugin. Version 0.5 has maybe a bug. see https://www.ads-software.com/support/topic/transferring-audio-files
This problem is related only to the podPress entries in the wp_postmeta db table. But you could export and import all podPress entries from the wp_post_meta table manually via a db web interface too.
