Moved to LB Nagar for my bank posting. Daughter has a class 4 seat, but my son still has nothing for LKG

We came from Kakinada in April when my bank posted me here. My daughter got a class 4 seat in a CBSE school near the branch, that part is done. For my son, who is 4, every school with a bus and day care after school is saying LKG is full. My husband is still looking for work here, so for now he can manage pickups. Once he joins somewhere we need a place that keeps the child till 6. Is there any school around LB Nagar or Kothapet that still has LKG seats this late, or should we put him in a playschool for one year and try again?