Hi. I am allergic to cats. Ten minutes in the home of someone with a cat and I get sneezing, runny nose, itchy eyes. I am also in the process of buying my first home, but the current residents own two cats and I am concerned that I wont be able to remove the cat dander/allergens. The home has hardwood floors downstairs, and carpet upstairs. We are planning to replace the carpet, install HEPA filters, and scrub of the whole house thoroughly. Should this do the job, and if not what else can be done to ensure that we remove all allergens?