Increasing the ventilation in your home is one option. In order to improve air circulation and reduce the amount of harmful particles in your home, ventilation involves bringing in fresh air from the outside. If the weather permits, it's a good idea to open the windows. Additionally, you can use window fans to push potentially hazardous air out and draw fresh air in.
Another option is to think about purchasing a portable air purifier with a HEPA filter, which can capture and eliminate minute airborne particles like pollen, smoke, bacteria, mold, and dust. Although the cost of air cleaners varies greatly, some models that cost around $100 can effectively clean a room.