Same as you. I like to keep quiet and enjoy it all to myself. It's especially nice when both of you keep quiet then you have a secret to share. You can't jinx it, but you can protect it until it's fully grown.
I felt the same way when I started falling for my DH! We weren't broadcasting it all over the place, so imagine people's surprise when we got engaged after a couple of months or so of dating. It's a wonderful feeling. Enjoy it!
P.S. I don't think it's too soon. You can't help when love finds you.