With Covve you can easily export your whole contacts list, straight from the mobile app.

On the main page -> tap on the 3 dots -> Settings -> Export & Backups -> Export Contacts -> Request export.

Once you request the export, you will receive your contacts by email, in a CSV file.
Note: please make sure you also check your Spam/Junk folders, as the email may end up in there!

If your contacts are not properly exported, see here for possible reasons.