It basically means surgically removing parts of your chronically enlarged/swollen turbinates so that your airways are free again. Along with that I've had a nasal spur removed (slightly blocked airways); Septumplastic (had a slightly deviated septum that also inhibited airflow a bit); and while at it the ENT also recommended and did FESS (Opening/Widening some paths to the sinuses).

It was a pretty life changing surgery that finally allowed me to properly sleep again, and do exercises/run while breathing through the nose. For some people, the turbinates may become enlarged again after a while, but for me it's been great for two years already.

Have you considered just doing hyposensibilization therapy? No reason to go the way of surgery before trying that. Worked wonders for me and my array of allergies, dust mites among them.