You want to leave your beloved wanting more. It’s similar to eating a succulent strawberry. If you eat the entire strawberry in one bite, it’s all gone.
If, however, you take only a small bite out of the strawberry, your appetite gets whetted for more. Make your beloved want more, by giving them only a little taste of who you really are.
Do NOT lie about yourself: that sets up the relationship for a disastrous ending.
Instead, give a piece at a time. Giving your name, if they don’t already know it, is the perfect place to start. You do not need to give a last name, or a middle name; just a first name, or whatever it is you prefer to be called.
Last names can wait until you know each other a bit better. If they ask what your last name is, say something silly and sexy, such as: “Stick around long enough and you’ll find out.”