Replacing hot/cold water faucets for washer
A spigot valve would be what you are looking for. You would need to remove the old valve from the pipe coming out of the wall to confirm the connection size. Washing machine hoses have the same connectors as garden hoses. Yes, turn off the whole house water since there don't appear to be shutoff valves before these valves. The main thing to worry about is to try not to damage those pipes.