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This is just regular trim, taped at the top (to keep paint from getting on the wall, obviously) and at the bottom, against the carpet. When I tape the carpet, I leave a little extra (about 1/16th of an inch) curling up toward the trim and then use my fingers to push it down where the carpet begins to curve downward.

This "special" taping is a bit more of a bitch-kitty. It's the same idea but takes smaller pieces of tape and more patience. I use that around the door trim and stuff like this railing. It take a bit of time, all together (about 1/2 hour or so) but it saves a lot of time and headaches in the long run.
Good luck! :)
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As for doors, it's probably a lot easier to take them down in the long run but I don't. I paint them while they're hanging. In fact, I'm taking a break, right now, from painting doors and jambs. I feel like jambing my head against a door, at this point! ;oP