You need a pair of shoes at every exit and you need to enter the way you last exited and you need to set whatever you're carrying down to put your shoes on and take them off all the time. Plus your guests who don't have a shoe at every doorway end up cold inside or walking around in their socks outside, and it's not like I can get the dog to wash her feet at the door... It's just too much.
Down is where the dirt goes.