Hey Kuraiza!
I use a snappi with flannel flats, and although it doesn't grab as easily as terry, it still works. But I'm just not good with pins and sharp things down there... You can get flannel and terry flats from KMart and Target for fairly cheap, but it may take some hunting around in the baby section. It's usually a mess, and where they keep the flat nappies is somewhat neglected IYKWIM... Also, most online nappy stores have flats. At KMart I got a pack of 6 for around $10, but the fluff! My goodness, it took weeks to get rid of all the excess fluff! (They were Fluffies brand!) I was flicking a snowstorm off my balcony with every wash... But they work great, and I use them with Thirsties or Bummis covers. The gusseted legs on the Thirsties covers work great to contain those newborn explosive poos. Can't beat flats for drying time, and considering how often you need to change a newborn, it's vital. I got 24, but I'm in Melbourne with a winter baby, and they're great for chuck cloths anyway.
Eenee snibs can be bought from the eenee website, and some IRL stores. I got one but never really used it. Once was enough, and I hated it. But that's me. It's a small breathable PUL cover for newborns, to be used over a flanny flat or with an Eenee biodegradable/flushable pad. It ties up at the front, which I found awkward. I thought I had put it on wrong at first, but it's just the wrong shape for my baby's bum! Moved onto extra-small size Thirsties covers and they still just fit and bubs is 6kg now. Just started with the small size now, which will last a lot longer I think.
Most online nappy stores also do 4-packs of PUL covers, which are worthwhile. It's a good number to have, and you wont need wool covers for a while, as marcellus said. The other eenees products seem great in theory, but I'm not a huge fan...
Hope that helps!
You're not the only one... but just try and stay away once you get hooked on MCN!