When your mind is racing, just remember alcohol always winds up in the sewer, you just saved yourself a step and are healthier because of it.
The anxiety you feel is normal, you are letting go of a crutch and trying to climb what you perceive to be a mountain. Take small steps, and keep climbing. The best piece of advice I received from this site is "all you have to do is avoid the first drink". Concentrate on that, keep yourself busy, and it should all fall into place.
Keep coming back for support, you will find a lot of it here either directly or indirectly.
Stay strong, and keep with it! You can do it!