thanks to mori-muc and to handOFFmydata.
Like many other I had this bad surprise of the missing syncservices in iTunes+Mavericks. This is really outrageous to be forced to use a cloud service we don't want to. I won't discuss this but Just to add one thing :
I tried Baïkal as an addon on a my NAS i already owned and it WORKED PERFECTLY. It worked at my 2nd attempts and then it took me 2 hours to configure it. Before Apple's 'bad move', I was completely ignorant in ca..DAV or about PHP and now I have an opensource solution completely free and it looks very professional and reliable. AND I can access it from anywhere in the world. It's really a personnal Cloud way much easier than installing Owncloud (and seems unstable).
Baïkal is a lightweight CalDAV + CardDAV server based on PHP, SQlite and SabreDAV. It works with MacOS, iOS, Android, Thunderbird so with All devices mobiles or PC (linux and windows). Just TRY it !
http://baikal-server.com
https://github.com/jeromeschneider/Baikal
If you don't own a NAS I would advice you to buy a cheap ARMbased model (less than 100$) 🙂 : it's quite easy if you choose carefully the good brand ! Or use an old PC to make it a server or even install free4nas (for "advanced users"). In my opinion it's better to invest 100$ in something you can use for many other things than 20$/40$ in a software that will only sync your iOS device.
BIG THANKS to Jérôme Schneider who developed it based on SabreDAV 😎