Well, according to what you said, I can infer that there is something wrong with the way you use your eyes and your work and life. Because generally speaking, red eyes or veiny things are resulted from a lack of sleep, bad use of your eyes, working too hard without breaks ,etc. This problem is absolutely treatable as long as you pay attention to your eye health and your life. Also, get more breaks and eye drops when you feel an eye strain or something. Hope you find this useful.
Most of the red veins in eyes are caused by overusing of eyes, such as watching TV or playing computer game for several hours. Get rid of your bad habits of using eyes and have a regular life style, then your eyes will be recovered by itself gradually. And you also can use eye drops to help your eyes recover more quickly.
Your condition is most common due to bacteria and allergies. That is, cold, pink eye and some other body disorders which caused by bacteria are all possible to lead to red veiny in the eyes. Dust, cat and some allergies are easy to cause eye infection, then red veiny also occurs in the eyes. In addition, fatigue and stress also can cause redness in eyes. Some home remedies to help with your condition. Use hot compress on your eyes to kill bacteria and germs in the corner of eyes. Drop some the counter eye drops to relieve redness and burning in eyes. Also, you can wash your eyes with honey at night.