Hi
Welcome to health care magic,
Swollen turbinates with sneezing,watering eyes with runny nose could be due to rhinitis
(allergic or infective) or
acute sinusitis.
Here,it can be mostly due to either allergy or viral infection because of our low immunity or allergic to certain substances like dust,pollens or grass.
You should take symptommatic treatment,
1) Take antibiotics (quinolones like ofloxacin or macrolides like
azithromycin) to prevent super-infection.
2) Take antiallergic drugs like antihistamines (cetrizine or levocetrizine) with mast cell stabilizers (
montelukast) to combact allergic symptoms.
3)Take decongestants like phyenylephrine if you have congestive symptoms in turbinates,nose and throat.
4) Steroid
nasal spray like rhinocort,flonase or beconase.
5) Nebulisation twice daily with saline or take steam inhalation 2 to 3 times a day.
The best way to cure allergy is to avoid contact with the allergen,so you can make out which particular substance from this cats or dogs is causing it and try avoid contact it.
If still problem persists then you should
consult ENT specialist who can recommend you certain blood tests with ESR and X-ray of face to make a diagnosis clear.
Hope this information will help you.If still any query then you can ask me.
Regards,