My neighbours kids don't play on a dirty dog owner's furniture...to my knowledge and it's a common enough problem.
The people around here are very good at cleaning up the mess made by dogs and facilities are pretty well laid out for this in our neighbourhood but as nobody 'walks' their cat with a plastic bag ready to scoop up the item cat poo is more of a problem here.
I can understand your concern if that isn't the case where you live.
But I raised this as part of my collection of ethical concerns for people who go to the trouble of not eating meat or wearing leather but then get a cat which kills just about anything it can and then try and force a vegetarian diet on the poor creature.
It's as inconsistent for me as arguing for the rights of a zygote while eating a pig.