I've always had a rule, when I introduce new animals into my house, that I ignore them for the first week or so if my other animals want attention. So if my cats are in, I ignored Tilly if they wanted to sit on my lap. And then they didn't get jealous of the new arrival. When actually introducing them, I tend to keep the dog on a lead, and make sure the cats have their nails clipped to remove the sharp tips - that way they can still hit the dog, but not draw blood.
Good luck.