Also good practice to wash your hands/face more regularly in the day, especially if you get irritated eyes.
When I have hayfever I do get a dribbly nose (really dribbly if outside) and sneezy, but the main thing is my eyes, which get unbelievably irritated and run and sometimes get all bulgy.
Giving your hands/face a wash removes the pollen/allergen on them, and means less chance of transfering them to your eyes or nose.