I will be arriving in Hongqiao Airport at 1130 pm and departing next day in Pudong Airport.

Well, I'm afraid that there is no shuttle bus or subway after 23:30. Thus it's suggested to take a cab to Pudong Airport directly. In general, the cab fare is around CNY 300 at night. Besides, you can consult your airlines whether if they have luggage check through service. If yes, you don't need to check out the luggage.