Look in HomeAway or Vrbo. Be sure to put pet friendly in the filter. It’s not that easy to find places that take pets and if you do you may have to ask the owner to see if the yard is fenced. Also of course there will be an extra charge for a pet.
What @disneysteve said.... In our neighborhood very few of the homes have fences. Mostly a few that have larger lots. And they are not the ones that are being rented. Most of the newer developments only have a few feet between houses which makes it difficult to have fences.
I also agree with what @cedricandsophie said. Start by filtering with pet friendly and I'll add to check the pictures for any views of fences. Even if you see something you will want to check with the owner to make sure the fence provides an enclosed area and is not just a fence along the rear property line. We have at least one pet friendly rental in our neighborhood but it doesn't have a fence. I know because we met one of the renters, a very nice couple, and ended up watching their dog a couple times.
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