I have been using LLs (bamboo is my favourite, cotton is ok but I always boost with bamboo, and I sold on microfibre as they leaked) since Adam was a month old. I really like them. As some people have already replied, you do need a fleece liner and if they are big enough they do not leave baby's skin wet. Also, you need to keep an eye on them and change before they get soaked; if you do this the wet never leaves the area of the liner, if you don't, the whole thing, including the waist straps (sorry, brain is a bit scrambled, can't think what they're really called) and that is like sitting in a sodden towel, not nice! With a really good wrap that rarely leaks if it's put on properly, like a Motherease, it's easy to forget they might need changing (at least it is for me, when he was in LL wraps as well I was a lot more vigilant because they'd wick round the legs if he was wearing something too snug).
Bamboo does take longer than cotton or microfibre to dry but on winter days with the radiators on it's really not too horrendous, even without a dryer. I do stick mine in to start, 40 mins on medium, to fluff them (which they don't need as badly as cotton - cotton goes crunchy, bamboo is always gorgeous and soft), and then they take maybe 12 hours on a rack next to a warm radiator.
The best recommendation I can give is that when my son grows out of the size 1s, I am going to get some in size 2. They work well for us, but like someone said, every baby is different, and I would second the suggestion of trying a few before investing in a lot. They can be picked up pretty easily second-hand, and if the ladies on here are anything to go by (selling on after only a few uses when they were not suitable for them) you should be able to get some practically new (as I did).
They are very cute little nappies, very simple. I love mine.