Gaming laptop or desktop?

What will you be doing with this PC? Be as specific as possible, and include specific games or programs you will be using.

I will be taking this computer to college with me, moving from Arizona to New York. It will of course be used for school work but I also want something that can run games and run them well. Common PC games for me are Dota 2, the Fallout games, will likely buy Overwatch.

What is your maximum budget before rebates/shipping/taxes?

Approximately 800 bucks

When do you plan on building/buying the PC? Note: beyond a week or two from today means any build you receive will be out of date when you want to buy.

Hopefully within the next month.

What, exactly, do you need included in the budget? (Tower/OS/monitor/keyboard/mouse/etc)

OS, Tower. I have a monitor, keyboard, and mouse already. It'd be awesome if someone could also recommend a mic or headset.

Which country (and state/province) will you be purchasing the parts in? If you're in US, do you have access to a Microcenter location? USA

If reusing any parts (including monitor(s)/keyboard/mouse/etc), what parts will you be reusing? Brands and models are appreciated.

I will be reusing no parts except for peripherals, my PC is absolutely ancient.

Will you be overclocking? If yes, are you interested in overclocking right away, or down the line? CPU and/or GPU?

I don't know enough about computer hardware to answer this question.

Are there any specific features or items you want/need in the build? (ex: SSD, large amount of storage or a RAID setup, CUDA or OpenCL support, etc)

I would definitely prefer an SSD.

Do you have any specific case preferences (Size like ITX/microATX/mid-tower/full-tower, styles, colors, window or not, LED lighting, etc), or a particular color theme preference for the components?

No preference

Do you need a copy of Windows included in the budget? If you do need one included, do you have a preference?

Will need a copy of windows 10 64 bit

Extra info or particulars:

Based on my situation of going to college, would you guys go with a laptop or a desktop for gaming?