There is a large housing market available, but expect to pay very high rents. For security reasons I would highly recommend an apartment. Colegio Campo Alegre has a good reputation, but the Colegio International de Caracas does not, plus it based in a dodgy area of town. Yes, but I can only speak for the ones used by locals. There seem to be several bilingual ones and one Montessori.
Most people use nannies or maids.
If it was not for the security issues, it would a very good posting for all. Caracas has a great nightlife, good restaurants, and an interesting art scene. The Avila mountain can be explored and there are nearby beaches, though most were destroyed in last year's floods. Los Roques has to be one of the beautiful beaches on earth. The Amazon jungle and Andean region are great for tourism.