A constant cold is often chronic allergic rhinitis rather than a viral infection. The occasional bleeding (nosebleeds) is likely due to dry, irritated nasal passages from constant nose-blowing or overuse of over-the-counter decongestant sprays. To help, try using a gentle saline nasal spray or gel to moisturize your nasal passages. Avoid over-the-counter decongestant sprays, as they can worsen both congestion and bleeding. I highly recommend seeing an ENT specialist or primary care doctor. They can prescribe safe treatments like nasal steroid sprays or antihistamines, and examine your nasal passages to rule out other causes of bleeding.