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Please check your mouth by looking into the mirror while brushing your teeth to know any bleeding sites in your mouth and throat. Mild bleeding might occur if you have gum disease due to infection or a vitamin deficiency. Please consult a dentist to get clinically evaluated. Please change and use a soft toothbrush.
A sinus infection also causes symptoms, including the taste of blood in the mouth every morning. It will help to know if you are having any sinus infections that might be causing it.
If you are a smoker and have a chronic cough, then causes in the lungs, including bronchitis, will have to be included. Please get examined by an ENT specialist, and if required, consult a dentist.
Please feel free to correct any oversight in my interpretation of your problems and discuss them in detail as per your requirements.
I hope this helps.