Well, bipolar (mania anyway) can cause hyperactive sex drive.
I lost my sex drive when I started taking SSRI's and eventually had to get off them. Now my meds allow me to be myself again.
Are you in a relationship with someone? It's possible to work your sex drive into that relationship and at the same time be in a much safer position to engage in these activities (I hear you, that you are cautious anyway).

What are you currently being medicated for? I don't think that there are many meds that would cause and increased sex drive. But it may also be a phase you are going through.

Regarding liking both men and women - there are some of us that will always be like that. Some of us go through phases while we try find ourselves. Either way, I don't find anything wrong with that!