I've been casually dating a girl for a few months now, and she's aware that I'm not looking for a relationship. But she keeps asking me about the other women I'm hanging out with. I usually deflect and change the subject, or make an obviously corny joke, "I'm only dating the <her name>s of the world".

Is this the right thing to do? How do you manage a situation where you may be casually dating multiple women at the same time?