Flight was over booked. IST to SFO Had two confirmations, one under my name and another under my wife's and three kids. Currently awaiting TK to rebook us for tomorrow along with hotel accommodations/transportation

Does anyone know if they will give us two rooms? Also how long will it take TK to rebook us?
I have ice packed medicine in a checked bag and TK said they we can pick it at the belt. Hopefully that's the case.