Most birth to potty nappies (the ones with expandable poppers) are suitable from 8lb
Nearest the baby's skin you want a disposable liner (as said, pretty pointless for nb poo!). Then a fleece one to wick away the wetness. Then microfibre, then bamboo then hemp. Depending on your baby you may need no more than a microfibre layer, most people get good results from 1 mf and 1 bamboo.
Nappies where it's all together are called All In Ones (AIOs). They usually have a long tongue that you fold into a gap between the PUL (waterproof outer layer) and fleece inner. Most big chains now stock these - off the top of my head, Boots and Tesco do Totsbots Easyfits and Kiddicare and Sainsburys do Bambino Mio Miosolos. AIOs are the easiest type to use, although mine have always needed an extra booster to get a decent length of time (3-4 hours for a day nappy)
Pocket nappies are nearly as easy, and a LOT cheaper on ebay (known as cheapies) plus they come in all sorts of amazing prints. The nappy itself consists of a PUL or Minky waterproof outer, and a fleece inner. It's then up to you what you put in the middle (most people use 1 mf and 1 bamboo booster and new ones tend to come with these)
Then there are 2 part nappies. That's where you get a nappy-shaped absorbent bit (a fitted) with a separate PUL or minky outer (wrap). That's what Villavillekula is using, although there are many brands - including Totsbots available from big retailers.
Wraps can also be used with flat nappies - either traditional terries, prefolds (lots of layers of cotton sewn together) and for newborns muslins are really good. You can also get fleece and wool wraps (pants shaped are called soakers, fleece trousers are called flongies and wool trousers are called longies)
AIOs or pockets are great for daytime. With the right combination you can get 3-4 hours and I change less often than some of my disposable using friends. Two parters are better for overnight because you can buy a shitload of boosters and make them last for hours - 17mo ds is currently asleep in a bamboo fitted boosted with a prefold and a bamboo booster and i expect it to last a good 12 hours! Plus no worry about the nappy getting overloaded and bursting.
Different brands fit differently - I know quite a few people who spent £200+ on a kit only to give up because it was too hard/they didn't fit when actually they bought the wrong thing for their needs (or were expecting an unboosted nappy to last overnight!). You'll need more in the early days but as the baby's system develops they'll stop pooing at night and wee less. So muslins or prefolds in a wrap (you just fold down the lines of a prefold and put it between their legs then the wrap goes over the top) are brilliant in the early days, and can then be used for other things I keep one in the car for demisting the windscreen or to stuff in a pretty pocket.
Make sure the elastic on the legs is tucked well into the knicker line, this stops leaks along with having enough boosting/changing frequently enough.
Sorry about the epic post. DS has been in cloth since he was 5 days old and I'm trying to fit 17 months worth of experimenting into one post!
Congratulations 