Yes, it does get easier.
I was around people drinking quite a lot when I first got sober and I also found it hard. I think it took about three months for me to feel comfortable about it and not really think about it too much. The problem for me was fighting with an internal voice that told me to drink - it made me very on edge and anxious, and didn't help at all. Accepting that voice was there, and not letting it give rise to any emotions really made a difference. You don't have to fight the feelings you are having... or feel guilty/upset/angry that your body is telling you to drink. Let it be and let it go, it's much easier.
Congrats on your three weeks