Do you have allergies?
Good News!
Believe it or not, you can keep your carpet. Studies have shown that carpet is better at trapping allergens than hard flooring such as tile or hardwood. How can this be? Particles and allergens fall to the floor (out of the breathing zone) and onto the carpet. The fibers of the carpet trap allergens and particles, reducing their continued circulation in the air. If you have hardwood floor or tile and have watched the dust swirl around in the sunlight, you know what I mean.
Proper cleaning, and frequent vacuuming with a Hepa-filtered vacuum effectively sucks up the dust in the carpet, locks it in the machine, and keeps it out of the air.