ADHD is a spectrum just like autism and any other ND condition.
Just because your loved one acts a certain way, does not mean the rest of us act the same. (This is generally to anyone, no one specific)
I was diagnosed late last year in my mid 30s. I have chosen to be unmedicated but I manage myself with music to stoke the dopamine, my phone calendar has a million reminders to help with remembering things and to not be late. You have to be accountable for yourself. It also comes out differently in men and women.
However, I do not blurt out random, rude things at people. I can have a wicked (not evil, just tongue in cheek) sense of humour but I do know when it and isn't appropriate. He can take responsibility for this. Point it out to him in a calm way that isn't appropriate for him to do that.
Him moving around a lot is a type of stimming. It stands for self stimulatory behaviour. It helps stoke dopamine which helps us with our focus, our motivation, our impulsiveness, our concentration and so forth. That's why he can't help it. It sounds like he has the hyperactive type.
Mine is inattentive. Most of my hyperactivity is my mind. I do externally do it though I mask more at work.
If you're an introvert, this may not be the relationship for you. However, if you want to stay with him, research as much as you can. It will help you and him. Follow some nd types on social media.
There will be a lot of people on here ready to tell you lots of negative things about us.
But there are so many positives. I am loyal, loving, generous, caring and thoughtful. I go above and beyond for the people who care for me. I empathise to a fault. Especially for an underdog. I try to be helpful too.
Just remember his personality is separate from his ADHD. As someone said above, adhd love is a great account.