Welcome!
Everyone's experience is different, but I thought I'd share mine with anxiety. I definitely drank (and have for years) to keep anxiety at bay. What I didn't realize until I became sober was that the drinking was causing anxiety too. A vicious cycle: I was anxious and drank, which made me anxious, which made me drink more...you get the ugly picture.
The first month in particular was tough, I won't lie. I went to bed early--a lot. But once I got through that, the cloud of anxiety that had been shadowing me most of my adult life lifted. I still have some bad days, but nothing like before. And sleep! Sober sleep is the best.
So stick with it: it does get better!
PS: One thing that I'd do sometimes is listen to relaxation tapes or podcasts. Even if I couldn't sleep it would help settle my mind.