The reason people say not to do this is simple, any decent player will automatically change to resolution of videos to fit the screen size they are playing on. For example
I have old videos recorded from VHS. Their resolution is 320x480. That means there are 153600 pixels available to me at any time. My computer runs at 1920x1080 resolution, or 2073600 pixels. The way the player makes that VHS video format fit my current screen is by making each pixel from the video occupy 13.5 pixels on my monitor. This is done without my knowledge, but means everything on my monitor is blurrier than the original video at the original resolution (yes I am aware of ratio variance, but lets just put that out of our mind for now).
DVD and Blu-ray players feature 1080p "upscaling" for DVDs. They do this exact same thing, simply stretching the content to fit the screen. Now since you can't have a pixel be half one color, and half another, they need to determine which color goes to which pixel. High end players run an algorithm to determine when a pixel is one color or another, which requires a mathematical comparitor operation. This requires extra processing, but again is transparent to the user.
Now, why shouldn't I upscale my videos? First, this isn't upscaling. This is permanently adding what is effectively junk data, in order to artificially increase video size. If you were to then play the video back at the original resolution it would be distorted, because the player again has to filter out data in order to shrink the video. Some of that filtered out data is the interpolated values, but some of it will be the original good data. This lost data, in the colloquial, will make the video look like crap. This is why memes look like crap after 3-5 reposts, because people start messing with the data and degrading the images.
Hopefully, this tells you why changing resolutions on video is foolish. If you're aware of this, but still want to alter the resolution, then I'll help you. Handbrake does not function as an interpolator, so you can't bump up the resolution. Mediacoder
http://www.mediacoderhq.com/ does. Download Mediacoder, and use it to bump up the resolution. No harm, no foul. Again though, you should not be doing this.