My husband and I adopted a 4 month old puppy into our home with two 4 yr old cats 4 days ago. She's very mellow for a puppy and not very vocal, generally. At this point our puppy, Maya, and our cats occasionally get within 5-6 feet from each other but everyone is still on edge and only out of necessity. Maya is curious but we don't want to push our cats past their comfort zones. I understand time is the biggest factor here but I want to be sure we're instilling Maya with the right impression of the cats.
We're encouraging Maya to leave them alone by calling her away from the cats when she starts wondering toward them and using "no" on the occasion that she does bark at or chase them. I want to give our cats the time they each need to feel safe with her but am worried this will teach Maya she's not supposed to be near them. Is this the best approach? Any other ideas? This is my first experience introducing a puppy to cats and would love some advice.