I have to say that laundry is my least favorite thing to do around here. And we live with a laundry mountain most of the time. I just cannot get out from under it. Diaper laundry, however, is my favorite. So easy. We use mostly prefolds and bummis covers. I have a few fuzzibunz. I put them all in a pail. I don't rinse or shake (unless there's a completely solid poop that will just fall off). Then, I empty the pail into the washer, run a rinse/spin cycle. Then wash on a hot/cold cycle with a tad of detergent. Then throw in the dryer. I have a wicker basket for diapers and one for covers on the changing table. I usually just throw diapers in their basket and covers in theirs. If I'm in the mood, I fold them and stack nicely, if not, I don't. And you can't tell just looking at the changing table. I love how easy it is.
In the newborn stage, we have some kissaluvs size 0, which I like a lot. I also have some re'uzm all-in-ones and some newborn prefolds. After that we have infant prefolds and small bummis, with a few fuzzibunz. I would like more fuzzibunz for the diaper bag, as I really prefer these when out and about, but it's just cause they're a bit more compact. Bummis are really the only covers I like. I think I have some NB proraps and maybe even some wool I'll be looking to part with at some point.