Hi Sprik! I have bipolar disorder and had lasting relationships, after dating. I was just diagnosed. Been in a relationship for over 2 years, with a man who'd been saying, "You're bipolar". He was right! But it hasn't scared him away.
I think if you're managing your disorder - whether meds or therapy - there isn't any reason you can't date & have a great relationship. I wouldn't disclose that info on your first date, or you might not get a second, but there are understanding people out there.
Maybe even try online dating - get to know the person - slowly before meeting up?
I think any relationship should be taken slow, but I have a hard time with that myself, and don't take my own advice. It's usually all or nothing.
I think dating is hard, period. Bipolar Disorder or not.

Welcome & Best of luck! PC is a great place to find friends & relate experiences.