The above folks have it right. Just shut off the water to your house, find a handy drain point and bleed off the pressure.
Cheapest:
The valve maybe be able to be dismantled. If so, inspect the seats and see if there is anything you can do to improve the seal. You mabe able to build up the seat with your magic fixer of choice... JB Weld, 5200, plumbers epoxy, etc.
Less cheap:
If not, get a shark bite coupling (which will adapt copper to PEX), and replace the damaged section of copper with PEX. Much cheaper and a trillion times easier to work with. Do this with most any of your copper that is damaged. And yes, add as many valves as you can to make a job like this easier in the future.