This is like tutorial part 2, where I give you more specifics (and more opinions) on what covers, inserts, and accessories are best. Every one's opinions will differ, but mine are the right ones (LOL) so I thought I'd share.
I love designer cotton printed covers with wipe clean PUL inners, but even my best ones wick a little of the moisture to the outside when the diaper gets really wet (like every time with Julian). Check out The Eli Monster, Brookiellen, or Diaper Circus of course, all on Etsy.
For a really basic cover to solve the wicking problem go with all PUL. Our Flip covers are great for this, but I the snap down rise is just a mess. I am dying to try Bummis Super Lite, because they are sized.
I like Mini Diapers, which go by many names. Chelory has one she calls an elasticized contour, but they are pretty small. I think they'd be a rockin' newborn insert. Bumkins have some, but they are enormous. The one I have that hasn't shrunken to half its original size has to be folded over on all sides. Loveybums has a "snap-in diaper" for their Loveybums-in-One, but I haven't tried it. Personally I think my own pattern is the best.
I also really like Trifolds. This is like a Prefold only it's made out of a stretchy, fluffy material like sherpa, french terry or fleece, in hemp, organic cotton, or bamboo. This sounds like a lot of options, but they really aren't that different. AMP has several varieties. Green Mountain Diapers has a Cotton Sherpa one, which is by far the cheapest available. There are several hemp brands at mainstream diaper shops, but they can be a little pricey, and the measurements seem iffy to me. Again I think mine are best; Hemp Fleece, or Bamboo Double Loop Terry 14x14" for $5. They are as simple as a prefold, but a lot softer, and more trim.
I bought some plain 9x9" 1 ply cotton terry baby wash cloths, and I like them loads more than any other type of cloth wipe I tried. Simple, cheap, you can get them anywhere. Forget the fancy wipes potions and spray bottles, just wet them with water.
The first pail liner I tried was a Bummis Large Tote for $16 from Cotton Babies. It has been perfect from the beginning and I've never felt the need to try anything else. End of story.
Bummis Fabulous Wet Bags have all of the qualities I like for a good price, but I've never actually tried them. I have one from a precut kit on Wazoodle, and a WAHM made one from American Country Designs on Etsy in a cute print. This is pretty flexible. You just need something made of PUL with a zipper that will fit in your diaper bag. It can be as simple or as fancy as you want.
If you must have an All-In-One:
Envibums are the best! I don't really think it's more convenient, because I have to stuff it out of the wash anyway, and most babies will need more absorbency than is attached, but the small fact that the stuffing goes in between layers makes it a lot less intimidating for parents and nursery workers. The bright minky is adorable, they are one size (and actually fit well) and $2 from each purchase goes to a charity.