Puppet Transition in After Effects?

Hi. I'm following the tutorial "Making Your First Cartoon." Very helpful! Thank you. While your transitions between your puppet seem quite smooth from when he is in a scaled up version to when you see more of his body, my transitions for my puppet look quite clunky. The switch between the two perspectives doesn't seem smooth. I was able to follow your instructions of how to make the staircase effect of bringing in and out the different layers of each perspective but I wasn't sure if there was anything else to apply to help the transitions from one layer to another seem more seamless?

Again--many thanks for your tutorial video. I'm a total novice and have been able to make much progress following your instructions. Thank you!