Hello, we stayed at AoA in early January. At that time, and I believe it's still available, they did have buses running from AoA to both parks in the morning.
As for the skyliner, it's like you're lining up for a ride. The earlier you're in line, the quicker you get there. When you land at the CBR station, there's cast members there to greet you and find out where you're heading and direct you to the correct line. They're very efficient, but it can still take time. We chose to drive to Hollywood Studios and for me, it was the right choice, but others do just as well taking the skyliner.
We did take the skyliner to Epcot but ended up in the park after official park opening. Part of that was out own fault, taking our time. I think we left our room at 1015, which is unofficial opening. It probably took us 10 minutes to get on the skyliner at the AoA station, but closer to 25 minutes at cbr.