When I was playing around with quitting I always found it easier to stay sober and not drink during the work week. My time then is far more structured and I have responsibilities to attend to. Weekends were the hardest because I had "free" time on my hands though with young kids there isn't actually much free time.
I found it best to make plans, plans and more plans that didn't involve alcohol for the weekend so that I would focus on something else and tire myself out.
I also get/got horrible anxiety when withdrawing. To the point that I could barely walk for fear of falling down. I pushed through it. If you are concerned, and it sounds as if you are, see your doctor and be completely honest about how much you drink, for how long, and what happens when you stop. I found it extremely liberating to do this.
I first got sober in in patient detox and my doctor was coincidentally the attending physician on the day I ws admitted. I stayed sober ten months plus a few days and relapsed. I have stopped again but about a month before I did I went to see the doctor, threw myself on her mercy, was completely honest about what was going on and she prescribed a couple of things to help me through the initial withdrawal. It has helped a lot. I did not do in patient this time. I had anxiety in the beginning but every day has gotten better and the only time I have anxiety is when I am tired or hungry or have had too much caffeine.
Plus, if you feel safe and secure at your parents house and can stay there for a bit, I would ask them if you can stay. I always feel,safer at my parents house. I can relax there and know that I can't drink there. It is a haven.
Good luck. Quitting isn't easy. Anxiety doesn't make it any easier. But you probably know that the fear of anxiety can ramp up the anxiety. You can do it!