How do you keep pacifiers clean, once the baby learns to pick it up and put it in her mouth?

Until about a month ago, my daughter couldn't put her binky in her mouth by herself. Whenever it fell on the floor, or any other unclean surface, we would wash it and then give it to her. She finally figured out how to put it in her mouth, and now whenever she's playing on the floor, she picks it up and it goes right into her mouth. We put a big blanket on the carpet where she plays, but now she learned to scoot backwards, and sometimes gets off the blanket. I don't even want to think where that binky will be, once she starts crawling around. I vacuum often, but we have to cats, and a lot of hardwood floors, so there's some dust... I know I can't keep all the germs away, but is it okay if she constantly picks up the pacifier off the floor? Any tips or ideas?