The artstyle is great! The colors really stand out when everything else is monochrome.
Level design seems to take into account how the player movement works. The enemies shoot very predictably.
However I still found the movement more frustrating than fun since it takes such a long windup to move. It reminds me of the rage game "Jump King". I don't think it's inherently bad design since as I said you built the levels with the movement in mind. Just not something I enjoy personally as I prefer something that's faster to control.
I wish there was a little more feedback on how beating the enemies works. The average player should be able to figure it out just by playing. I didn't figure it out before writing this and reading the comments here. The enemy should for instance flash/make an unique sound when you successfully hit them. Quite easy to implement and that would have helped immensely in trying to figure out how the game works.
When playing I came up with a bunch of theories like (Oh I need to hit the barrel, Oh I need to hit them fast) which then guided me to not play the game correctly and in turn found it too difficult and gave up.
Also I have no clue what the babies have to do with anything???
Bouncing around all over the place with full force was fun!
Cool game even if not my cup of tea gameplay wise.