39w2d pregant today

Still no signs of labour. My #4 baby. Due on 30th june. My #1 was delivered on 40w1d. My #2 was on 38w+ and my #3 was on 39w exact.. Im anxious when will my #4 be coming out. I have gestational diabetes for this pregnancy (only) btw and during my last check up (3days back), baby weighs 3.2kg alr.. was given another appt for this 29th june. Doc said, i would be induced if i still have no signs of labour by then. I will be giving birth in SGH. How does it go if i would have to be induced ? Will they ward me on 29th june during my appt or give me another date to come back n be induced? What should i do..?