Thanks for your question on Health Care Magic.
I can understand your situation and problem.
Since you are having severe allergies, your all symptoms are suggestive of allergic etiology only.
The best treatment of
allergy is identification of allergen and if possible complete avoidance of it.
You are living in carpeted house. And carpet fur is common allergen.
So if possible remove the carpets.
Avoid dust, animal contact, pollen exposure etc.
Antihistamine drugs are needed to suppress
cough and eye problems.
Anti allergic drug is also beneficial in your case.
Since all these drugs are prescribed medicines, you need to
consult doctor for prescription.
Hope I have solved your query.
I will be happy to help you further. Wish you good health. Thanks.