It's not much stress, your PC should be able to handle it fine if it does your monitor at 1920x1080 already.
Now that you're going to be using dual screen, and I assume not 100% of the time, here is your lesson. Windows Key + P. IN Windows 7 and Windows 8 this brings up the menu for selecting your display devices. Some catches on it though. If your monitor is DVI or VGA but your television is HDMI, it's going to call your television the "PC Screen." Your monitor will be the "Second Screen." The four options are: PC screen only, Duplicate (mirrors the images), Extend (you can manage apps on both screens separately), and Second screen only. If you get into 3-screen territory like myself it gets even weirder. If I want to use my 2 27" monitors I tell Windows to do second screen only. If I want all 3, I do extend.
Also, when you set up your dual monitors be sure to go into the display properties and set your main display. Get to it by right clicking on the desktop and picking Screen Resolution. From there you can set your main desktop screen. I'd recommend keeping it as your monitor and using the television as the extension because of weirdness with desktop icons.