...what is it that gets rebirthed?

Buddhists have a hard time answering that question. They all seem to agree that it is not the 'self' that is reborn but it is not clear what exactly is reborn.

Before we can understand what is reborn we must first understand what 'is' that can be reborn. We cannot understand what 'is' only through conceptual analysis. According to Buddhism meditative perceptions are the only way to 'understand' what 'is' and what is reborn. Study, knowledge and investigation into the unreliability of our sensory experience, in the context of the 7 factors of Awakening, produces an energy that facilitates the arising of these meditative perceptions.