a couple of ideas.

One thing I've heard about cats is that they respond better to distraction than they do discipline.

Try to discover a "safe petting" zone. some kitties like to be just scratched on the head or chin. Some love belly rubs while others will hate it. Some like to be petted lightly, some firmly. Every cat is different.

Look for those cues like Logan mentioned. I once had a cat named Lucy who only tolerated so much petting. I finally learned her signal, the twich of just one ear, by just one millimeter, meant that she was done and if I knew what was good for me, I had better stop NOW.

Some kitties just need to burn off energy! A feather stick or mouse on a string or other toy is a great way to play and be far enough away to not get hurt. You could also wrestle with them with an oven mitt for protection - just try not to get your kitty too over stimulated.

To help your other pets, make sure that this one has a collar with a bell. At least that way the rest are warned.

Hope this helps.