I just googled Cowboy Bebop and it looks fab. Do you recommed the series or the movie? Is it, in your opinion, suitable for children?
Series and movie. The movie takes place in the middle of the series, but if you start out with only one, go for the series, so you can get introduced to the main characters. The series is more varied musically than Firefly, with most episodes being styled after a certain musical genre (blues, jazz, waltz, ballad, etc).
With the level of violence, and some drug use, I wouldn't recommend it for young children. Older ones, maybe (teens, definitely), and some episodes may be friendlier than others (and some definitely unfriendly). Definitely watch it without any little ones first.