I found a daily newspaper for kids, called 'Petit Quotidien' enormously helpful in my beginner stage. Each day, it takes something from current affairs that's of interest to kids aged about 6-10 (usually involves animals, space rockets, trapped Chilean miners, poor oil-soaked pelicans, etc) and does a 4-page spread in a simple, encyclopedia fashion.
The vocab is quite simple, and the text blocks are short and next to pictures, so you can usually figure out what it's saying. And it's usually something you already know about, so you have a head start on what it's likely to be telling you.
You subscribe to it by post, then it arrives Mon-Sat in the postbox, so a nice little and often dripfeed. Initially I got it for me, but now it's for the kids - I tack it up on the wall in the downstairs loo, for 'automatic' reading...
Details here from the publisher, including a scan of the pages showing the format:
http://www.playbac.fr/boutique.97.le...-quotidien.php
And here's where you can subscribe to have it delivered in Switzerland (it's actually a French publication):
http://www.edigroup.ch/titre-nom.asp...0&numtitre=606
I've upgraded now, onto the one for 10-14 year olds, which I share with my 10 yr old. There is also one for 14-18 yr olds which is fine for my level of French, but painfully dull in its 'right on' or celebrity subject matter and worthy political tone.