Factory wheel kits for a stick welder always attach at the back of the welder. The photo below is from Lincoln Electric's web site. The user is to tip the welder back toward the rear in order to move the welder. You can see the wheels attached, and also the handles at the top of the welder. In order to use this wheel kit, the operator would need to get behind the welder.
Step 1: The real world
This is my Miller stick welder. It occupies a small space near the garage wall and between my lathe and my radial arm saw. The cables, helmet, gloves, and welding hammer either rest on the floor, or on top of the welder. Space is limited and things could easily fall off. That could be tragic for a nice helmet with auto darkening lens and circuitry.
But, sometimes I need to pull the welder out of its space so the cables will have just enough reach to weld something I cannot bring inside the garage, or to service something inside the welder, like oiling the cooling fan. This welder is heavy and using raw muscle power quickly stops being fun.