Dumb questions about PC

I like the mods they do for Madden and NCAA, not sure I'll buy a PC for just two games but I'm curious and had a few questions for PC gamers.

Do I have to sit at a desk with a monitor to play the game? That's what I love about consoles is it's hooked up to the big screen in any room.

I travel often, I'm guessing that will be a con because no PC is small enough to travel with.

How are the remotes? I haven't played a PC game in decades but the ones I used to play with were trash.

What are some pros and cons in general?