The most likely possibility in this setting, of red and dry and itching eyes that comes and goes over a long period of time, is something called allergic conjunctivitis. Allergic conjunctivitis is inflammation of the eyes that is provoked by an allergy to some substance in the environment.
The fact that the symptoms seem worse in the morning strongly suggests that the thing you are allergic to is something found in that environment. Common allergies that would be encountered mostly while asleep or in bed include mites (which live in the mattress and in the carpet).
Mattress covers can be very helpful in this setting, as they trap the allergens inside the mattress and don't allow them to get out and irritate your eyes. Also, if you have carpet or other possible sources of mites or mold in the bedroom these may need to be removed.
You should also talk to your primary care doctor
. In addition to preventive measure such as mattress covers, certain medications can be helpful. Sometimes, anti-allergic eye drops can do the trick, but other times an oral antihistamine (such as loratidine) can be helpful to prevent symptoms. Your doctor can help you make this decision.