Breakup sprites or large list of sprites?

Hello,

So I'm creating a game where the player has many face expressions and movements. Initially I thought of breaking up the sprite into it's parts, but when I did that I got gray lines along the cut out boarders making the player look like Frankenstein. It seems any pixel with an alpha value produces a boarder. So do I go through the annoyance trying to get rid of those lines or just do every combination of the sprite?