KKH followed by Private Hosp

Hi mommies to be!😄 I am a first time mum and I would like to know something! Do you think it makes sense if I go KKH for subsided rates to go through all the common/standard scans and checks till about Week 16 before permanently switching to a private Gynae that will follow through till the Delivery day! Appreciate all of your guidance and gold advice!:)