With Covve you can easily export your whole contacts list, straight from the mobile app.
On the main page -> tap on the gear icon -> 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 check your Spam/Junk folders, as the email may end up in there! Also, if your inbox is divided into more than one folder (e.g primary, social, etc) please make sure you check all of them.
If your contacts are not properly exported, see here for possible reasons.