I don't know about making your hair grow faster, I've never heard that. If you have curly hair though, it's best not to brush or comb at all because it makes it crazy frizzy since it separates the strands (and I think the curls break easier that way...?). I have curly hair and every day I just run my fingers through it with some product. The only time I use a comb is to part my hair and bangs after I shower or when I take my hair down after having it up.
As for other hair types, I'm not sure which brushes would work best.