Jogging stretch I do before I go running.
Stand with your feet about 3 ft away from a wall, feet facing the wall. Take one step forward while keeping your other foot planted flat where it was. Lean forward onto your front leg, until you can rest your elbows on the wall. Keep your heel planted, and your knee straight, and start to stretch that calf out. Give it 15 seconds, then swap legs. Keep doing that 4 times for each leg, or until it feels stretched out and doesn't feel painful to do this. Do it in the morning and at night after work some time.
Next day, same thing. Do it every day. After a few days, start with your feet planted a little further away from the wall, so you can stretch your calves at a stronger angle.
And yes, chug that water. Water's good for you anyways.