How to know I'm picking the right laptop?

I'm looking for a new laptop after my toshiba satellite completely fried! I'd prefer not to get another toshiba because It would always black out randomly, even during the first few months of purchasing it.

I'm going off to college this fall, so I would need a laptop that would be be good for I guess storing a lot of essays? I don't know, I'm having trouble talking in computer language. So, basically, you know, it can handle lots of essays, internet browsing (preferably very fast), and I watch movies a lot on Netflix and Hulu. I don't know if that helps lol

But there's one major thing that I need the laptop to be super good with. I play this one computer game almost everyday, and my old laptop didn't seem to be able to handle it well ( I think that's why it broke), and it lagged a lot on my laptop

When I used my brothers laptop, it was a Sony, the touch screen type, the lag was 10x worse and the laptop over heated so bad whenever I played it on there, so maybe not a Sony either lol

The computer game isn't anything overly complicated like GTA or minecraft, so I don't need a gamers laptop or anything

Just one that has good internet speed, and wi be able to handle me typing lots of essays and watching movies and playing that computer game

Thanks in advance for taking the time to reply!

So what's the game?