My wife offered a new name for us to take on as a wedding present, "Loess". As far as I know we're the only two humans in the world with that name (outside of a groovy electro band). It's a geo-archaeological term meaning airborne sand, or a sand formation that is etched and carved by the wind. I love deserts, so it fit.
I'll be driving down the road sometimes and I say my name aloud, and it makes me feel good, positive, and more in touch with who I am.
Our children will have this name, and if they choose, they can discard it or carry it on. Neither of us is close with our fathers so it wasn't hard to switch.
Names are important to me because they carry meaning. Which is why I think it's an important thing worthy of the consideration you're giving it Bjjs.
I hope you find/found something that encapsulates this.