I often get the question: how many Facebook accounts should my brand have. (It is usually in relation to a brand expanding into additional locations, or new products/services.)

My answer is two-fold, but simple: Have as many accounts as you have stories to tell, and which you have the bandwidth to manage properly.

I'd rather see one page doing a good job of handling a few services or products, than multiple pages not keeping up with content or engagement.

I know you are asking a question bigger than a Facebook page, but I think the answer still applies.

-Is this new offering a whole new story (will it be targeted to a different audience/solve a different problem)?
-Are you confident in you and your team's ability to manage an additional brand?

If the answer to either or both of these questions is no, then there you go. If the answer for yes is both, then get your new house in order -- you are ready to split your brand!