Going there for 35 + years or so, business, family, and friends. I will try an answer your question, and stay on topic.
EXPERIENCE:
1. GRU is the main International airport hub, about 30 miles from the city centre. I have come in at all hours, and the Balloon Cafe there is a welcome relief, 24x7. They know me on sight, and after a long transatlantic flight, I can get a tall German draft Beer and hot Pao de Queijo at 0600. There is security and safety inside the airport, but like anywhere in the world, don't wander away from your luggage, documents, and bags.
2. Traffic problems are major, and can be unreal. I missed a flight out one time leaving 4 hours ahead of flying time ( 2.5 hours at 1600 to get to the airport ). Be patient and paln
3.