I don’t know how you’ve managed to deal with these behaviors for two years since they are so distracting and worrisome for you. Your therapy should be an opportunity for you to focus on you; not a time to be wondering about the therapist.
I can’t tell you what the therapist is doing. I can only say that the behavior you describe is highly unusual and a bit concerning. Although there are different styles of therapy, good practice generally means that the therapist maintains good boundaries and only shares personal information if it is necessary to move therapy forward.
Why not go at this directly? Ask him why he fidgets so much and why he feels it necessary to share so much personal information. Tell him his behavior makes you uncomfortable and ask that it stop. Asserting yourself may be helpful to your therapy.
If he can’t or won’t change his presentation, do consider changing therapists. Although you now know and trust your therapist, he may not be the right fit for your needs. Don’t lose sight of the fact that you are employing him to help you. You shouldn’t be expected to help him. That’s for him to pay another therapist to do.
I wish you well.