Dear Tatianka
I admire you love for learning languages. I am an Arabic speaker myself. I always look for good Arabic language learning materials for my 2 and half year old daughter. I have tried Arabian Sinabd which was mentioned by Ruamulla. It's one of the best packages i found in the market. I bought the package from Arabic bookshop in London. It's a great tool. My daughter loved the videos and started repeating words and small phrases immediately. The beatuy about Sinbad is the style of learning the product offers, it is simple, entertaining and mind engaging for kids. My daughter has learnt about 90 words from Arabian Sinbad, i am really happy with that. I think you should try it. Have a read about the product on their website: www.arabiansinbad.com . it explains what the product does to teach your child Arabic.
Check out some Arabian Sinbad videos on YouTube: http://www.youtube.com/user/arabiansinbad
Good luck with the Arabic language learnign journy for your child. It's a beatiful language.