Good luck!

You should be fine though. For all the horror stories, we don't hear the plenty of stories where things went as expected.
My first change was done at an independant; but this is a shop I've been taking my cars to for a while. Some of the guys have been at that shop for years, and more importantly for me, they like performance cars, especially muscle cars. Since they have a respect for nice cars and like to see them in good shape, I am pretty confident with that shop.
However, there are some oil change shops where the workers treat it like the McDonald's of oil changes, and just do whatever it takes to get the job done the quickest.

Unfortunately, the only way you can tell whether a shop is this type or not is by experience.