Pre- registering at hospital if insurance will change in New Year?

Amanda
My insurance will change on January 10th. I'm due January 28th with our second. I started to pre-register for the hospital online the other day and then stopped, since figured it may be more confusing since we're getting new insurance early in the year. What Is everyone else with a January baby and new insurance doing? I figure I'll just wait until we get the new cards in the mail. Does that make sense? I just don't want them trying to bill the old insurance, or having a mix up. 
(Note - My husband and I are both federal employees, but I've been carrying our health insurance. I'll be taking some unpaid leave, so we're moving our insurance under him and switching to the slightly cheaper BCBS option this open season.)