There are only two words you need to know about handling disposable diapers. I'm surprised nobody has mentioned it here yet. It's "better than sliced bread":
The diaper genie is just okay. The plastic can retain smells after a while. During the diaper years my wife and I would simply take the trash out to the can twice a day or toss the soiled ones immediately to get then out of the house.
Incidentally, this is the first time since the change that I miss having the upvote score on an item.