Cat behaviour change with new kittens
I have two kittens, which I just got 5 days ago. They are so cute and lovable, and are really nice. Naturally, we are getting them adjusted to the house by having them in a room, with litter box, food, etc. I also have two chihuahua size puppies (at full size), and a 10 year old cat. Yesterday, we started to let them out. First we let them have the entire upstairs, which is simply two bedrooms, a bathroom, and a small hall. We blocked them with a gate. Our other pets had already met the kittens, and recognized their smell. The kittens were brave and longing, so following some advice, we decided to let them have the run of the house (except for now, the basement and family room). One of the cats came down, and our older cat was being better about it then I thought he would. He walked near where the kitten walked, and it was clear he was marking his territory. He didn't attack the kittens, so that was good. We let one of the dogs out from our hands, and they immediately terrified the kitten, so we decided that it was a night for the kittens, and we put them back in their room. Now, occasionally, our dogs irk our older cat, and he hisses, but this is rare. In fact, he normally plays with them. Now, our cat was lying against the wall, and one of our dogs walked a good distance away from him, that is, not too close to get angry. However, our cat jumped up and ran at the dog, almost about to attack her. Is this normal behavior in this type of situation? If not, what should I do?
I would really appreciate comments and help.