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You will need a table saw (or circular saw), drill with screwdriver bits, jig saw, (miter saw, if you have one available), router with a 1/16" slot cutting bit, and at least one pair of clamps. A pair of sawhorses is also greatly recommended. You will be generating a lot of dust so, if you construct it in your garage like I did, dont plan to clean your house until after you complete your cabinet. In addition, make sure you have safety glasses.
If you have access to an orbital sander, get it. I did not need one but you may.
[Update- I purchased a table saw to help with later cabinets and would recommend it, if your budget allows. This is a low-end model that Lowes sells for less than $180]
