What about being overlooked by other apartments?The car park is directly outside the apartment. Plenty of spaces. Not many people around. Would be less risky to go straight from the apartment into a vehicle than walking down the road carrying a child IMO. A picture of the car park is attached. MM window is on the left hand side next to the front door.
I'm pretty keen on the parking further away scenario and using the excuse of others regularly carrying sleeping children home so as not to stand out too much. imo