So I was going to make a cheap webcam recommendation (Logitech C615—I use it pretty extensively to monitor my 3D printer and am pretty happy with it) but there seems to be an absolutely ridiculous price disparity between Newegg.com/ca and amazon.com/ca. We're talking US$32 from the US store and CA$77 from the CA store. I know the Canadian dollar is a bit weaker but it ain't
that much weaker. I hope you guys don't get gouged like that for everything.
But yeah, if you can find it at a good price, the C612 is solid. If the C922 isn't much more expensive, shoot for that one instead.
Also, here's a few scatterbrained audio thoughts for when you plan to pull the trigger on that:
Look into Behringer equipment when you're ready to start getting that set up. Their little pre-amp/mixers are pretty decent for the price (I have a Q502USB—fairly light and portable and still features +48V phantom power for condensers). I also use a Behringer UCA222 and a pair of RCA to TS cables to bring audio from the PC for monitoring, etc. I also have an X1204USB mixer that opens up a whole lot more possibilities (such as using a pair of UCA222s to allow me to mix my mic, VoIP, and game audio independently and on the fly) but it's nowhere near as portable.
Speaking of Behringer, their mics are decent, too. I have their C-3 condenser mic and it has a tendency to err on the side of honesty when it comes to tones and has a really flat frequency curve. If you go with a condenser, bear in mind that they're very sensitive. I was recording something in a room at the back of my house with the door and all windows closed and if I turned up the gain I was able to hear cars passing by the front of the house. Condensers require phantom power, so bear that in mind if you decide to get one.
If you want a mic that'll give you a really nice, rich tone out of the box, the sE V7 dynamic mic is just glorious. The sound that I can get from that thing with almost zero effort reminds me of the tone that you'd get from an Electro Voice RE-20, albeit at a fraction of the cost. Being a dynamic mic it's obviously not as sensitive as my C-3, but when I'm recording I don't typically crank up the gain and then position the mic in my neighbor's house.

It also doesn't require phantom power, which opens up the possibility of using a USB preamp or just plugging it into your sound card (using an XLR to 3.5mm cable).
Pop filters are mandatory. Shock mounts aren't, but they're good if the mic is in a place where it can get accidentally jostled (i.e. if you get a desk-mounted boom it would be a good idea to get a shock mount). You can arguably avoid using a pop filter with proper position and technique, but it takes pretty a pretty precise setup and that's not something you want to deal with in the middle of a game. The pop filters included on some mics (like the sE V7 I mentioned) definitely help, but they aren't a replacement for a proper filter. I haven't tried this myself, but apparently you can make one yourself in a pinch with a wire coat hanger and a nylon stocking.
I don't have one myself at the moment, but one of my friends has this desk-mounted mic arm and swears by it:
https://www.amazon.ca/Adjustable-Microphone-Suspension-Broadcasting-Voice-Over/dp/B00DY1F2CS/. Definitely a lot cheaper than something like the RØDE PSA-1, which is about 5-6 times the cost.
As far as monitors go, I use the Audio-Technica ATH-M40fs. Good sound, flat response, closed-back, noise isolating, and really well-priced. Alas, Audio-Technica discontinued them at some point. They sound great for music, too—I used to bring them with me whenever I'd play IIDX AC. If you can find a used pair in decent shape, go for it.
I don't have too much experience with higher end headsets. I've used my friends' Audio-Technica BPHS1 and it sounded pretty nice. They're a bit more expensive out the gate, but considering you're getting a decent boom mic and a pair of solid headphones it's not too bad.