Many of us are scared to quit smoking and also fear loneliness. We have considered our cigs to be our friend, we always had something to do and "someone" to take a break with. Just remember that cigs are a false friend, all they care about is that you remain addicted. Cigs do not have your best interests in mind.
It will be important for you to plan, plan, plan for alternate activities that you can do when you have cravings. You might try to keep busier away from home for the first weeks. Take a class, go to the library, take a walk, walk around the mall, go to a movie, set up a jigsaw puzzle (cats love to help with these!) - anything to break up the hours when you would normally be at home. If there are rooms in your house where you never smoke try to spend time there. And your cat does care that you smoke! Your cat loves you and you need to remain as healthy as possible to be there for your cat. And by remaining smoke-free you will no longer be exposing your dear cat to deadly second hand smoke - yes, it's bad for pets too!
I am 10 days smoke-free and do all of the above to distract myself during urges; also a lot of deep breathing! Keep up the good work and promise yourself that you will not smoke, not even a puff. Keep it up, urge by urge, day by day. You can do it. No one ever died of nicotine cessation (it just feels rotten at times). You will be so proud and we'll be proud of you too!