I picked "my precious" cause it's very, very close to what I actually often call mine: my treasure. Often with Gollum's amount of enthusiasm as well!
But most often I call it my pussy. Mostly cause that word conveniently includes both the vulva and the actual vagina. And since I'm a Swede, in my native language I almost always call it my "fitta" which is considered a bit more vulgar than pussy. So it surely stops people in their tracks when they hear me use that Swedish word so casually.
I remember my mom laughed at it when I told her once I was gonna ask my endo "What's wrong with my (fitta)?!" and she asked me to kindly not use that word at the doc's office.... I was confused as to why I still had quite bad vaginal atrophy after several months of not taking T anymore, and it frustrated me a bit. Turns out my estrogen levels were still at rock bottom, which explained it. Still have that issue, but that's another topic. Alright alright, I do call it my vagina at the docs offices, but rarely ever in any other circumstances. Such clinical language just has no unf to it!