I know there are quite a few breeds that don't shed or don't shed much, as well as being hypoallergenic, and I've found a lot of dogs bred with those dogs -- especially Poodles -- seem to carry that trait (because what else do you do when you can't sleep but somehow end up on that thing called YouTube watching random videos). Dirty paws I imagine comes down to the owner taking care of their pawed animal and ensuring said paws are cleaned appropriately from walks and outdoor time.
It's an experience, but I can understand why it's not for everyone. It's not one I actively engage in. Watching snakes eat, that is, though I can't say I eat a lot of bacon cheeseburgers, either. But of the two, I'd pick the bacon cheeseburger regardless of grease content to the other.