So, I haven't ever had to deal with this since I have been with my SO since i was diagnosed. But I would think, there is so much more to me (and you) than your illness and I wouldn't hide anything or bring it up necessarily. Like I wouldn't hide taking my meds or avoid taking them in front of a person. If they asked what they were for, I'd tell them. If I was sharing a story of something crazy I did when I was manic, I would probably state it as 'I was manic.' I wouldn't hide appointments with a therapist, etc. I would think that would be the natural evolution of telling people.
Though with all that said, sometimes when I am hypo I can't keep my mouth shut and say way more than I should, which has included telling folks I am bp then regretting it. Or just generally oversharing....good times.
Again, though, I am not on the 'dating scene' and have never been in that position.