I rinse my brush and shake it off as dry as i can get it then leave it out to dry, i don't hang it since i don't have a brush stand, i just leave it standing straight up. For the razor i rinse it well so no soap or stubble is left. I then dry it with a towel and give it a few stropping passes on a towel to dry the edge then strop a few linen and few leather just to make sure i get everything off the edge, put the razor (i leave the razor open so it can dry better) in my "shave" closet. I dry everything else (soap container, mug/scuttle, a/s bottle) and call it a night.
But that's just me, its actually allot quicker than it sounds. Hippie you enjoy your new razor when it comes in, and keep us posted on how you like it
-dan-