Mine would be all female, of course.

The Puppy She is so named because that's what she acts like. She is a young woman, late teens-early twenties, and her attitude is unflinchingly up-beat and perky (like a puppy). She will most often be found on her knees at my feet, staring up at me with a vapid, over-eager smile. The only thing she craves is my attention, and she will do ANYTHING I ask to get it. The attention itself is at least five times as pleasurable to her as whatever I do to her.

The Lover She's in her late 20s/ early 30s. She is calm and demure, and is completely satisfied just being near me. We are on intellectual par, have similar day-to-day interests, and just enjoy each other's company. Lovemaking with her is a slow, sensual process designed to slowly coax every iota of pleasure from the experience. Just the foreplay can last easily over an hour.

The Fuck Buddy Something half between Tifa Lockhart and Revi from Black Lagoon. She's highly aggressive and out purely for a good time. She doesn't care about foreplay or build up, she just wants a big, hard cock inside her. If you want to have sex with her, be ready to either slam her face into walls and pillows or to have that done to you.

That's quite the division, and a recognizable dearth to be sure.
I'm curious- can you personally choose just one?

All three people are designed to be whatever you want or need. You could have three identical women, a woman and two me, all men, and whatever the combination, you choose their personalities. These are the ones that I would choose at this point in my life. And just to be forthright, the Lover would be the woman that would be my 'wife' while the other two would be my pet and mistress, respectively.