When you do a separate close micing of the drumkit, you usally prefer SDC mics for the purpose of just picking up the cymbals.
Since I'm more into using LDC's I would get a more naturall sound by some also called a "LO-FI" sound.
But when using LDC's, you carefully got to pick the mic location to get a good balanc between toms, cymbals, snare and kick, and when this is done, add a little closed miced snare and kickdrum since these tend to get lost in the mix when added guitar and bass.
A simple thought is to close mic everything that is played alot, like snare and kick, I've also been thinking about close micing hihat to get that close crisp ticking hihat, but unfortunally you probably have to do heavy compression since there is a huge differens in volume when played with a closed hihat and a wide open hihat.
Do you know any preferble hihat mic to recomend?