Hi and welcome @lovely_tai!
I totally get how you feel. I'm currently at the "waiting for insurance approval" stage, so I have been neck deep in all of this for a few months.
When I began, I was 100% in your shoes. This isn't anyone else's business, it is a private matter, I won't share unless asked point blank.
As I've gone along this process though, I've found myself revisiting that attitude. I'm excited about this now. I went into it ashamed, as though getting the surgery was accepting failure. Now I realize that I'm accepting help and a tool.
I've told my closest friends and one coworker (who will be covering for me). Aside from one person who is young and doesn't understand my struggle, everyone else has been overwhelmingly supportive. I'm SO glad I told. I had been nervous that they wouldn't get it.
I still have no intention of telling random people. If they ask point blank if I had surgery, I'd say yes. If someone asked me my secret though, I'd just say that I finally found something that works for me. Technically it isn't lying!