Dear tatianka.
My first language is Arabic and am from Saudi Arabia.
Unfortunately there is very limited good arabic resources for kids.
For now I tried Arabic little Pim but I dont like that we dont see the arabic words written.
I just recently found Arabian sinbad and I think its well done
http://arabiansinbad.com/MediaGallery_Video.php?PageName=MediaGallery.
I just tried the vocabulary DVD and it really good with arabic subtitle.
This is another website that have good educational arabic DVD for kids but I dont think it is suitable for beginner but u can check the previews to decide.
maybe u can also try
http://www.arabicpod.net/learnarabic . i did check the french pod only and i like it.
let me know what do u think about this sites
enjoy
Ru'a