I live here, and I recently went out of my way to be dropped off at the terminal instead of parking. Disney (or the port) makes you park in a satellite lot (instead of the attached garage), right next to a huge homeless encampment. Car breakins have been rampant in the city, and even the city itself warned away from parking in open lots and favoring garages. I know the satellite lot seems to have security, but I wouldn't count on it being 24/7, especially if it isnt embarkation/debarkation days. There are a couple of private garages that are close, and on embarkation days, they usually have sign spinners and electronic signs pointing you to them. They also have shuttles, but I couldn't speak to their quality.