Personally, I think the word Bisexual has attained its limit.
As for Heterosexual and Homosexual, which refer to the act, the sexuality. I hate these words, because my feelings of being gay are so much more than the sexual act (that I have never done, but that doesn't prevent me to say and to know that I'm gay).
That's the reason why I created the word Androphily (well I discovered afterwards that I didn't create it, someone invented it before

). To express the feeling of being in love with a man, not just the sex.
So, with regards to Bisexual, by definition it seems that it describes people who are inclined to have sexual relations with either a man or a woman (with different levels of attraction, one may be 70% more attracted sexually to women and 30% to men, everything is possible).
But that doesn't reflect well the feelings. We should have a word which describes that some people are capable of falling in love and having a fulfilling relation with either gender. An Anthropophile (??) could have one LTR in his life with a woman but also being capable of falling in love with a man, even if that doesn't ever happen. And vice-versa. An Anthropophile could have a LTR with a woman and break up with her and have a LTR with a man afterwards. Or with another woman.
Just my opinion.
To the OP : for the question "are you gay/straight/bi" you could answer, I have romantic feelings towards women only but I can have sex with either gender. You don't have to reduce yourself to a single word ! If people don't get that, they won't get much anyways.