Well, your going to need a welder receptacle, your breaker, a length of cable, a couple of box connectors (CI806 or equivalent) and some cable staples to get going.
If you go to HD or lowes and you ask for x feet of 6/2 they'll give you a length of cable that has 2 coloured (hot) wires and a ground. It will be 6 gauge.
It will look similar to dryer cable but be missing a neutral (White).
Welder receptacles can be purchased at P Auto or HD. It will look like a single very large 120V receptrical.Its "official" name is NEMA 6-50R. Your welder should have the male version already on the cord leading to the machine. If not these can be purchased too.
The thing to do first is shut off your MAIN breaker. Don't take chances with electricity!
Remove the cover off your panel. Find a free location inside the panel and insert your new breaker. Look on the side of the panel for a Knockout you can use to install the box connector into. Make sure this KO is in the area of the breakers, and not where your mains com into the panel.You'll need to find one of the larger KO's that will allow the box connector to seat. Install the nut onto the connector and tighten.
Strip the outer jacket off your wire, insert into the connector and tighten down the connector. Strip the conductors and insert one into each side of the breaker. Insert the ground into the ground bar on the outside edge of the panel ( look for the other bare wires).
Run the wire down the inside of the wall and staple if possible. Knock out the hole in the receptacle. Install the box connector. Strip off the outer jacket and run the conductors to the "right and left"terminals in the recept. Hook up the ground to the bottom green screw.Tighten the box conn. Attach the recep to the wall.
Reinstall the cover on your panel, turn on the main and welder breaker and you should be in business.
If you have any questions have a ELECTRICIAN install this for you! No warranty is expressed or implied. Best of luck! Be Careful!