When I was confirmed the name I chose was Mary. It was after Our Beloved Saivors Mother.
It’s a good name to choose. If you’d like to choose it by all means do.
At the time of my Confirmation I was presented a Scapular and I was enrolled. You might want to talk to your Priest about this.
Since our Parish is over an hour away from the Dioces. It was such a thrill to have the Bishop come up for our Confirmations. (we don’t see a Bishop much in our neck of the woods) and he also enrolled me.
At the time I was a child, but I’ve never forgotten the honor at having the Bishop there at our Church.