Hello, Marie and welcome!
My name is ***** ***** thanks for your question.
They make a cat 'invisible fence' with collars/receivers for cats, like this one:
This one is for cats and dogs and the small dog collars will fit cats:
You can install one invisible fence for both the cats and dogs and find the right size collars for your cats by selecting the ones for smaller dogs.
I hope this helped and wish you much good luck on your move!
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