Learning: Infant, Diaper Genie

Alternatives to Diaper Genie?

I just had twins who are still in the hospital. My sister thought the diaper genie was a waste and that the smell would still get out, plus you need special bags for it. I thought I could just use the plastic supermarket bags, and throw them in the garbage can which we will take out every night, but I dunno if thats a great otion either...those bags aren't desined to keep poop smells in. Any alternative ideas???