Squarewave is nice for aluminum welding, but not required.
For accessories:
A torch. Gas cooled is cheaper, water cooled is a lot nicer. With a water cooled torch, the torch is smaller, the lines are lighter and more flexible and you can weld until the duty cycle on your machine says stop. For water, a continuous loss system like the wall tap works. A 5 gallon bucket with a gear or diaphram pump (need enough pressure) works. I can't speak to brands too much - I have been using mostly Weldcraft water cooled torches. Others are probably good but I don't know.
A ground lead and clamp.
A foot pedal or other remote current control, arc on/off thing. For bench work a foot pedal works fine, for climbing under or into stuff, forget it, a foot pdedal will drive you nuts.
Torch bits - collets, cups, and tungstens. I think that the rule of thumb is that the tungsten should be a similar thickness to the work, but I stop and 1/8" tungstens. The collets are sized to the tungstens, the cups to your torch and the work you are doing.
Filler rod. ER60S2 is a common one for steel, 4043 is a common one for aluminum and stainless needs to be matched to the flavor of stainless you are welding. I use a lot of 1/16" rod and some 1/8" for jobs with crummy fitup or thick material.
A helmet, #10 or so filter
A pair of light leather gloves.
Some non-synthetic long sleeve shirts and long pants.
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