QUOTE
A grey and white kitten with black stripes wanders away from her mother and siblings one day while enjoying a walk outside with her family. Lost in her surroundings, the kitten struggles to find her family and instead is found by a young boy, Youhei, and his mother. They take the kitten home, but pets are not allowed in their housing complex, they try to find a new home for the kitten. This proves to be difficult, and the family eventually decides to keep the kitten, naming her "Chi".
^synopsis from wiki
Watch this anime if you want to die of cuteness (after all, it IS a kid's show

)
It's only 3 minutes (including the intro song) so you can get caught up pretty quickly. I think there's about 30ish episodes that have been subbed.
First episode from veoh.com