You can cure the biting by simply swatting her a little and raising your voice when she bites. Thereafter, that tone of voice will get results. The “bothering”? That’s what I love about kitties. :-)
All you have to do is hiss at them. If they jump away and turn their back to you in respect, you’ve got a good, trainable cat. (I learned this taming my “feral” who is now a permanent porch fixture and loves to come inside and watch football as long as snuggling is involved.) The dog, by the way, hates this.