Stephen Fry and QI notwithstanding, I am afraid that we really only have one "moon" to be over. There are estimated to be around 1100 "near Earth" asteroids, some of which have been trapped in earth orbit, but as these are too small to be observed or to exert any influence on the tidal environment of the earth, they really cannot be described as "moons" at all.
Still the one we do have is large by solar system standards, indeed it is quite a bit larger than Pluto, and is the largest "moon" of any planet in the solar system.
There are some other features of our amazing moon: It is disproportionately large in relation to its "principal" (the Earth), and it therefore exerts strong tidal influence on the planet. I watch the effect of this gravitational relationship between the Earth and its Moon with the rising and falling of the tide on the estuary every day.
So, if you are going to be limited to one Moon, over which to be, then ours is a pretty good moon to be over.
Andrew