To get rid of dust in your home go throughout your house and clean it top to bottom including mopping any floors, wiping down walls, ceiling etc.
Get rid of clutter as well off the floor and change and wash your bedding at least once per week.
Once you have everything washed and wiped down get yourself an air purifier that will help remove dust and allergens from the air in your home.
Continue to mop your floors at least 3 times per week and vacuum your carpets 3 to 4 times per week if you have carpet and do a deep cleaning of the carpet at least every 6 months.