Dating with anxiety?

I'm 25 and I feel like I'm getting into a relationship with someone and I have severe anxiety. The whole thing is so new to me and I just feel so anxious about it that I'm struggling to eat and sleep properly. I really like him but I don't know if my anxiety can let me relax around him.

Im worried about a whole manner of things that go with relationships - intimacy especially! As I've never been that close with anyone before.

Anyone got any tips or reassuring stories that might help at all?

Thank you all so much!