Don't get anything but Lincoln or Miller... I personally prefer Lincoln. (assuming you want a GOOD welder) a TIG (Tungsten inert gas) welder is for really small precise stuff and uses a gun, which provides heat and you use a rod to join the metal, a MIG (Metal inert gas) is a wire-feed welder which creates an arc as it continually feeds the wire through the gun, which is the welder I suggest you get. Stick welders are the same concept as a TIG welder but on a much larger scale. Over all, I would recommend you get a MIG welder, you can pick one up from Home Depot, Sears (I think), Prax Air (welding supply house) and i'm sure other places.
One other thing to consider.. Do you want to use the welder with or without gas? I've done both and have both and WITH gas is far better then without. But, that depends on if you plan on hauling this around or keeping it at home.. and it makes a difference on what type of wire you buy for the welder.