Hello Cece I was reading the posts on here and saw yours and wanted say that if I BELIEVE (I could be wrong) but there's a difference between Police Certs & FBI Certs ... You can go to your local Police station and ask for them and they'll arrive to your home address within maybe 1-2 weeks or at least that was my experience but as for the FBI it is taking 3-4 Months. I wanted to clarify on that!
But CIC gives you a total of 180 days to submit the fingerprints for FBI so I think that's what they want unless they specifically said "Police certs". But regardless I would go ahead and do both of them at the same time because then they'll put more pressure on you!
I hope I helped :S Great luck to you !!