Typically, when folks think of what to do with dirty diapers, if they want something fancy, they turn to a diaper genie. It contains the smell like a charm. If they want something basic, they just toss it in the trash, maybe wrapping it in a plastic bag to contain the smell.
So when I first stepped into the world of cloth diapering, this was one of my biggest questions: how do we store the diapers until washday? We needed something that would do a good job containing the smell so we knew it had to have a tight lid. It needed to be big enough to hold a good amount of dirty diapers. It needed to be kind of small so it could fit in the bathroom since we quickly learned the storing dirty diapers in the bedroom was a stinky idea. We went through a bunch of different containers, mainly different styles of garbage cans and while some of what we tried were serviceable, none were perfect.
And then while in Target one day looking for a new garbage can, one that would actually be used for garbage, I came across this: Home Logic Pet Food container. It was no where near the garbage cans since it is marketed as a "pet food container" complete with a scoop. But this thing is perfect for the diapers. It snaps tightly shut and even though it's large enough to hold a lot of diapers, it's small enough to fit in a small area. And as a plus, I can open it with one hand. It's perfect.
So there's my recommendation for how to store dirty diapers.