I am sitting on a conference call with a team of people. We are discussing dealing with stress. There are lots of ideas. Some people are exercising. Some have taken some time off. Some are diving into work. All of these ideas are good ones.
In my opinion, the single most effective coping strategy is to get out and connect personally with people. What do I mean by this? I mean calling people whom you like and yet haven't spoken to in a while. I mean getting out and meeting new people. I mean spending even more time with people you see often.
Why is this the best way to cope? Just being with people often makes you feel better. Talking to people about what is bothering you in a positive way can really help you work through change. Merely the act of talking releases stress. As you speak of what is bothering you, you feel that "thing" become smaller. In your head, it feels big. As you discuss it, it shrinks.
Talking to others also causes others to feel closer to you. When you open up about something that you care about it shows vulnerability and shows that you are "human". This causes people to feel more connected to you. It is human nature to want to be part of a community. As others feel more connected to you, you feel safer and more comfortable and so do they. That connection is exponential. So be honest and have enough courage to share what is really bothering you. Just do it in a professional way.
If you can't bring yourself to exercise, that's OK. At the very least, take someone for coffee or even better, take someone for a walk.