Hello, welcome to HW. Have you discussed with your doctor any alternatives to prozac? It may not be the medication for you. Sometimes you have to try a few before you get the right "fit".
My number one tool for coping with anxiety is to keep myself busy, distracted and surrounded by positive things. If I am finding it hard to leave the house I will bribe myself, a hot chocolate at my favourite cafe, a new book. Anything that will get me focused on something other than what is going on in my head and my body.
I also try and challenge panic. When it tells me to be fearful of something I try and go out and do it straight away. The longer I dwell on it the less likely I am to be able to do it and then I stew on it for days, and days...
I hope some of our advice helps out, it's lovely to have you here as a member.