Sorry I cant be of a lot of help, as its all a bit of a mad science to me but I found this site with is a great help, you put in all your requirements of what sort of thing you need, baby age, quick drying, environmentally friendly, easy to use etc and it lists the nappies most suitable for your needs. http://www.chooseanappy.co.uk/
Happy Hinys come up as the best for me and they looked really nice.
Let's presume you want to wash every other day, I'd go for at least 12 nappies.
If you want fancy ones, you've got two options. Pocket nappies come in all sorts of fancy designs and are stuffed inside with the boring stuff so the pattern's always on display. Or plain nappies can be covered with all sorts of wacky wraps ( you'll need at least 4 wraps as these can be wiped clean and last a few changes)
Paper liners can be soft but if you're concerned opt for washable fleece liners. Dirt cheap or make your own!
Cat mentioned a good site for finding what's good for you. The nappy lady and twinkle on the web websites also offer a similar service.
Don't go out and buy loads of the same though. Try a couple of a few brands to see what worlks for you xxx
I agree with Minxy about finding what's best for you.
Personally I love Wee Notions nappies and wraps. www.weenotions.com. The microfibre nappies are really soft, they have a built in fleece liner (shake the poo down the loo), and a built in booster but you can add more if she's a heavy wetter. The leg elastics are also adjustable so you can make them smaller/bigger as Rebecca grows. They come in lots of pretty colours, but you're going to be covering them with a wrap anyhoo. I wish I'd gotten more neutral nappies now as it's the wraps that are on show. The Wee Notions wraps are really good, they've never let me down with regards to leaks, you can choose everything from the pattern on the outside to the colour of the waterproof layer on the inside and the binding. I've got girly ones and funky ones. Wee Notions also do some gorgeous pocket nappies, which like Minxy said, you just stuff the inside pocket with boring boosters which are hidden. You can get bright pink flowery ones or even animal print ones, they've got some great fabrics.
I used www.babykind.co.uk when I placed my initial order and their website is really good at explaining what you need to go with what nappies.
If you have a look and are confused and have any questions at all just fire away. I keep forgetting about this section
Not much I can add to what minxy and Kina have said. I use pockets for night time as I can pad them to make them more absorbant. During the day I use the two part system with a shaped nappy and a wrap. There are some fab ones out there. I have some photos that I will upload and try and remember where I got them from.
Edit: Here are a selection of Seren's nappies.
These are the pocket nappies, all are from minki except the snow leapord print and cow print which are from weenotions. These are Seren's nightime nappies.
These are her day nappies, mainly from totsbots, weenotions, bumble, snugglebum.
And over those I put a wrap. This is the waterproof bit. You can get some really funky ones. These are from weenotions, funkywraps, totsbots and there are a few WAHM ones too.