Beginner looking to combine Arduino and outlet switch

Hey guys, I'm pretty new to programming and the hardware of Arduino, but I have a little project in mind that should be fairly easy, and a good place to start learning.

I bought one of these (link below) for about $15 the other day, and thought how cool it would be to take one of the remotes and hook it up to an Arduino to be able to initially control from my PC, but then hopefully be able to control it from my smart phone as well. The idea is just to use the arduino board to simulate one of the three buttons being pressed and that's it. I'm just not sure how I'd go about doing that, would I need some sort of micro relay or are there boards available that have exactly what I need already? I want to hopefully buy a cheap, small board as it will be dedicated to this project and probably wont ever have a new home on another project.

http://www.amazon.com/Switch-Indoor-Wireless-Remote-Control/dp/B00GL9H1KG

Hopefully that all makes sense, I'm just seeking advice on how I should go about doing this in the easiest way, as well as possible parts and what arduino would be right for me.

thanks! -Shane

I don't see a link.

CrossRoads: I don't see a link.

Sorry haha. I edited my post.

You appear to have forgotten the link. But if you buy One of these and hook it up to your arduino you will then have the means to turn the power on or off.

Get yourself an One of these and you'll be able to use any remote control to control it.

Could be a Promini and a 5V telecom relay with low coil current are all you need. http://www.digikey.com/product-detail/en/9007-05-00/306-1062-ND/301696 Put a diode across the coil contacts also, anode to 5V, cathode to arduino put, with the pin set to drive low to turn the coil on.

KenF: You appear to have forgotten the link. But if you buy One of these and hook it up to your arduino you will then have the means to turn the power on or off.

Get yourself an One of these and you'll be able to use any remote control to control it.

Edit: Oh I see you've added the link now.

CrossRoads: Could be a Promini and a 5V telecom relay with low coil current are all you need. http://www.digikey.com/product-detail/en/9007-05-00/306-1062-ND/301696 Put a diode across the coil contacts also, anode to 5V, cathode to arduino put, with the pin set to drive low to turn the coil on.

Awesome! I think I understand how that'd all work. Do you have a recommendation on where to buy parts? (Living in Canada) Also, I'm assuming there would be one available with three coils in one package, or would there be a way to switch three different switches with one coil?

EDIT: After checking the link you posted more carefully, I seen this is probably the best place to buy it. When searching for a relay that suit my needs, I'm pretty sure I need a 3PDT or 3PST relay, but it says "3PDT (3 from C"" or "3PST (3 from A)" I'm a little unsure on what that means.

EDIT EDIT: I think I get it now, I'd need 3PDT. Would one of theses work? http://www.digikey.com/product-search/en?pv72=1&pv1409=2&FV=fff40010%2Cfff80368&mnonly=0&newproducts=0&ColumnSort=0&page=1&quantity=0&ptm=0&fid=0&pageSize=25