Do i have bipolar, and what should i do?

I am currently diagnosed with anxiety and depression, and i also suffer from trichotillomania. The medication i am on at the moment is fluoxetine, and i feel that it is doing absolutely nothing, even possibly making my anxiety worse and some depression more severe. I have sometimes suspected that it could be bipolar, as i do have periods of depression that are quite severe, periods of moods that do seem to fit the characteristics of mania or possibly hypomania, and some periods of almost 'normalcy'. The one thing that makes me doubt bipolar is that these moods seem to cycle fairly frequently, rather than the typical less than 4 times a year, but i still feel my moods vary quite extremely and it does effect my day to day functioning, particularly along with the trich and the anxiety. What should i do, and what medication would you suggest?