My DH and I just got back from a weekend where we visited both MK and Epcot. We got my GAC at City Hall with no problems, and didn't notice any major differences from previous trips. We chose to avoid HM and POTC, but there were no issues at any of the attractions we did visit. If anything, skipping those two gave us the chance to try new things. We finally got to meet Tiana!
Given your general anxiety, you would also get value out of using a touring plan. It's very helpful to see what attractions are expected to have longer waits at which time of day, so you can plan to visit them when it is quieter. Definitely worth the small investment to have an enjoyable trip.
I would whole-heartedly agrees with this.
A touring plan can be even more helpful than a GAC.
GACs can only help in attractions and only if the attraction actually has the ability to provide what you need. A touring plan will help you everywhere, even if you just use it to avoid the busiest park and know when some of the most popular attractions are likely to have the longest waits.
For example, we were at AK today. According to the touring plan, it was the best park to go to today. In the morning, we know that the Safari will be a long wait because most people want to ride early in the morning. We went in the afternoon and still saw plenty of animals - but very little wait. In fact, at the point where the Fastpass and regular line merge, they were not even collecting Fastpasses and there were times when the Safari trams were not even being sent out full. As we waited in the accessible area for boarding, we saw many trams with seats empty (some with entire empty rows).
Another example that we have even seen during Spring break - Spaceship Earth at Epcot has long lines, sometimes over an hour in the morning. But, if you go in the afternoon when most people have moved on to World Showcase, you will be able to walk right on without waiting.
There is also an official Disney app called Mobile Magic and it is available for iPhone and Android from Verizon. That app gives actual posted wait times, Fastpass availability and even what the Fastpasses return times are.
There are some un-official ones - like one by
Undercover Tourist - that give a pretty close approximation for wait times.
I think things like the tour plan and a smart phone app would really help you to minimize your waits without anxiety. That way, you could also minimize using a GAC (which always comes with not knowing exactly how it will be handled).