Cat lady has it on the nose.
I would also start obedience lessons with your dog!
give the cats extra attention.
So what does the pup do when the cats hiss etc?
If he ignores them, then probably no worries.
He isn't nipping is he?
I would suggest when you are not able to supervise, separate. I mean the dog from the cats.
Sadly jealousy on rare occasions jealousy can lead to the demise of a beloved pet. It happened here about 12 years ago. Long story. As usual husband didn't listen to me ): Just try to keep things mellow and with time it should be okay. I would as I said teach you pup some things. The main are , sit, stay,come, down, go to bed. (Do you crate him, or does he have his own bed? If so I would reward him with a tiny bit of something at the beginning, for staying.
I think it will be fine!
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