Hello! My name is Coral, I'm 26, and in my final year of studying Zoology

I am not diagnosed, but I think there is a high possibility I am on the spectrum. I would like to talk to my GP about this matter, but I know that there can be a long wait for an actual diagnosis.
The reason I haven't spoken to my GP about this yet (other than being nervous) is because I am currently in Nottingham, with a doctor here. But will be moving to Southampton in a few months time (after I finish uni).
I don't know whether it would be best for me to talk to my GP now, or wait until I'm with a GP in Southampton, where it would be more permanent, making a a referral potentially easier.
I'm probably just over thinking this, but would like some advice from people who are a bit more knowledgeable on the diagnosis front and tell me what they think would be the best way to go about this would be.
Thank you in advance!