There are no vacumn cleaners that reduce allergy symptoms. Some profess to remove allergens by means of hepa filtration but filtration doesn't reduce SYMPTOMS.
Vacumning is one of the worst things you can do for allergies. It stirs up settled allergen. The best thing would be to get rid of the carpets and rugs.
Don't waste your money of vacumns and air cleaners. Spend the money on getting rid of carpets and installing hardwood or vinyl floors if you can. You can rid these surfaces of allergens fairly easily by using a swifter or similar product that doesn't stir up dust. If you could see what lives in your carpet, you'd be creeped out.