Hello, I can suggest using a relay board such as this one (click the image to go to website)
It's much cheaper than a solid state relay, as you can see... On ebay you can find these for like 5$.
You can try to find similar board with only one relay... But the second relay here could be used in case the first one doesn't work anymore 
Also, a link that can help you: http://arduino-info.wikispaces.com/ArduinoPower