The deeper the aperture, the more star trails you will see. My stock choice is Bulb/f5.6 (reversal film set to —0.6 stop to enhance contrast) with a 24mm ultra-wide lens) for 1hr 45 to 2 hours, then a pause before the camera does the next set (using intervalometer): I "set and forget" and go to bed. New Moon is ideal, or a waxing crescent no brighter than 2%: a waning/waxing moon will turn night into day over a long exposure. Atmospheric haze, bushfires or smog from cities can stuff up the exposure. Drifting clouds similarly will record as blurs, so you quite literally need to have the stars and moon align for a perfect, clear, cool (or cold, as here!) night.
I wouldn't be too concerned about Reciprocity; all films will show it at extended exposures, reversal film manifesting as a magenta or green cast (tungsten film will be stable). You're only doing it for fun, not critical to a point: people shouldn't be concerned if the image comes out black or blue or pink or green. You are allowed to have fun! Personally I like the magenta effect of Provia 100F but also the cool blue of tungsten reversal film or the eerie green of Velvia. Whatever film you run through though is a very personal choice.
Ensure you and the camera are safe wherever you go and that the camera, on the tripod, is not in the way of places where people might go wandering at night in popular areas (as is human nature), or animals. In Australia, kangaroos are the major menace, bumping into the tripod and ruining exposures. So I look for elevated (granite) plateaux where roos don't normally go (they can't see the edge at night and might tumble off). Wherever you go, take a chair, a book or an iPod (keep any light back from the camera) and while away the time as the camera goes through the exposure. Have fun!