Help when building a computer?

This summer, hopefully with my summer job, I'd like to build a gaming desktop. I'm trying to get away with as cheap as I can. However I would like to be able to run Minecraft, with maybe a couple of big mod packs, and Elder scrolls online. I also would like to play some BF4, but if that would be a ridiculous amount, than I'm fine playing that on Xbox 360. Also I would like to do some PC gameplay recording, and the ability to record with my Elgato on the Xbox. How much would I be looking at. Also if anyone has a guide, or could suggest the part, that would be helpful. Honestly I really can't do more than $550. I can sacrifice some things, but PC capture, elgato capturing, and Minecraft with some mods are a must. Thanks!

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