Driving would be the most direct (and fastest) route to get from AoA to GF. Driving around Disney property is pretty easy because the road ways are pretty clearly marked. Just remember to be in the rightward toll booth lanes because the others head to the MK parking lot and you want to head to the resorts. When you get there you'll have the choice of self parking (across the street) or valet ($15 plus tip). My family usually chooses to valet to save the walk.
If you opt to use Disney transportation, my favorite method is to take a bus to MK and then the monorail to GF.