These are all great suggestions.
If you were to visit with my T, I'd recommend having a bullet list ready with ot without how you feel about specific things, but definitely things that you know are concrete facts.
I don't know that this would be appropriate for everyone, or anyone besides me for that matter, or any other T than mine, but my T is very intuitive when it comes to seeing the feelings behind the statements. She will often ask how that made me feel, especially in the beginning. Now that she knows me well she will offer an idea of how she thinks I'm feeling to allow me a chance to compare it with my feelings. It gives me a starting point and a way to define my emotions in a context of someone elses view.
You seem to want to get moving quickly with this new T. That's very hard to do with any T, but you have some experience with this and some idea of how the process works. Hopefully this allows you to tailor your experience to give you the most benefit reasonably soon.
A first appointment is about feeling each other out, but do keep in mind that T's, good T's, will vary their approaches to your specific needs and your abilities, as well as self awareness. Intelligence level is a huge factor here. You are obviously bright. Please let this show. This will should be a BIG help to T in determining how to work with you initially.
Ooops, guess I ramble to, and you're not likely seeing my T, but maybe this can help you some.
Good Luck and let us know how it goes