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Chassis + PSU
Since this is a budget build, there's no need to go spending big money on a chassis. And for the first time, I'm recommending a cheap chassis and power supply unit (PSU) combo from Rosewill.
The R103A is a mid-tower chassis that comes with a 350W power supply fitted as standard. The PSU is not the best in the world, but from both my personal experience of these, as well as what I'm hearing from other owners, they're fine for low-powered systems.