Character Animator x After Effects

Hello. I created a character in character animator and also created a whole composition in after effects. I'd like to bring my character from animator (after I record the scene) into my after effects composition. What is the best way to do this? Can I bring the finish AE composition into CA? Or do I record my character in CA and then export it to AE? I also want to make sure it is just the character without the white background. If anyone has any tips on how to do this that would be greatly appreciated. Thanks!