Biscuits I have some 2 part ones where you have a terry towling shaped nappy with poppers to adjust the size and then a waterproof cover that goes over the top and also does up with poppers. You don't need to change the cover each time you change a nappy so you need less of these than the nappies.
I also have some all in one (AIO) where it is just like a disposable nappy. They come with either poppers or aplix (velcro) fastenings.
There are also pocket or stuffable nappies. They have the outer like the all in one but have an opening at one end where you can put an insert. You can put in multiple ones if you need extra absorbency. I find that they dry quickest, the inserts take longer but if you have more than 1 insert per nappy then you will generally have 1 ready. I have a nappy that is all fleecy so is virtually dry when it comes out the machine.
You can get ones that are birth to potty, these have poppers on the front to make them smaller so that you don't need to keep buying bigger ones as DS grows or you can buy sized ones which will generally fit better but you end up buying more.
Have mesh bags to put in the bucket so when you come to wash you just take the bag out the bucket and empty it all into the washer without having to handle the dirty nappies. I have disposable liners to catch the worst of the poo but you can use cut up fleece if you like. When you get solid poo you just shake it off down the loo before putting the nappy in the bucket.
Anything I haven't covered there?