The strength is in the Key. There's usually no problem with the IV being known, so storing it alongside the data (either as a separate column or just concatenated onto the start, as common way to do this) is fine.
There may be some other requirement for the IV, however, that you should ensure you follow. These may be around the apparent randomness of the IV, or that IVs should not be reused (although in such a case, it should more correctly be referred to as a Nonce).