I have flat arches, and found out that running on concrete is not good for me. I had shin splints so bad that I could barely walk. It took weeks for the pain to go away, and even longer than that before I could exercise again. I completely changed my exercise routine.
I had been running outside in the mornings when I got the shin splints so bad. Since then, I have changed to swimming. I find this to be much easier on my body and I don't have to worry about the elements outside when I want to exercise.
When I had shin splints, almost any kind of leg movement would cause pain. Just getting up from a chair and taking a few steps would be painful. The best shin splints relief I found was taking over-the-counter medication, and staying off my legs as much as possible.