Cutie cute cotton bottom... attempting a quick get away.

We most frequently use Fuzzi Bunz, in their perfect sizing. These are pocket diapers and have worked very well for us.
We also have a few Thirsties diaper covers for when we are out and about for the day. I then use the absorbent liners that come with Fuzzi Bunz, with the Thirsties cover. I find this to be a bit easier, and quicker while using a restroom diaper changer. Since Fuzzi Bunz are pocket diapers, the liner has to be pulled out of the diaper cover and each time a new cover is needed. It can also be a bit bulky in the diaper bag. With Thirsties covers, the liner is quick to remove (just drop it into the wet bag) wipe out the cover and re-diaper the behind.
For night time, we have a few different brands of pre folds in hemp/cotton combinations. I usually use a Fuzzi Bunz cover at night because I like the fleecy layer that actually touches baby skin.
I wash diapers every other day. Soiled diapers are stored in a plastic garbage can. I then soak them in cold water in the washing machine for somewhere between 1-4 hours, depending on what else is going on... After the soak, they are washed in hot water, double rinsed. I use Charlie's Soap powder and have had excellent success with this.
We also use fabric wipes. I just keep them in a little plastic tub, wet with water and a few drops of tea tree oil. I have a spray bottle with a combination of witch hazel, olive oil and a few drops of lavender essential oil that I spray on the wipe or on her bottom. I actually usually only need one cloth wipe most of the time.