Retweet Animation - Help?

So, I have a concept here that I think is solid, but I'm afraid I lack the animation knowledge to pull it off properly. This shot here is all Photoshop frame animation, because that's pretty much all I know how to do...

Any animators out there have any tips for a better way to go from the beginning icon to the second? Perhaps about 100 times more smoothly? :)

Thanks in advance!