What I also do is, when I need to use one of the bags, I make sure there are no holes in the bottom of it. If so, I will double bag and then put it in an old round ice cream container to hold the bag open so there is no mess between cat box and bags. Also, I buy cat litter in the big containers that are plastic and have lids. I keep the bags of used litter in one of those containers, seal it and dump it into the garbage for pick up. This way you do not have to put the bags into the regular household garbage, you keep the mess in one spot, and dump the whole thing into the garbage can just before pick up. If the bags have no holes in them, the container stays clean but you may have to air it out once in a while.
I do not have a dog but my friends use Walmart bags for picking up the poop while walking their dogs. Wal-mart bags or any plastic bag for that matter fits perfectly in the bathroom trashcans instead of buying special bags.
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