Need some more details.
Cough present at all times or only in hot weather?
Are you having bleeding now?
What Sinus related problems are you experiencing- headache, nasal block?
Next Steps
if you don't have bleeding now, try inhaling steam for 10 minutes twice daily, if you have decongestant nasal drops you can use them for 3 days before steaming.
Health Tips
if currently bleeding best to let an ENT surgeon see you before it gets worse.