First, I have used welded hitch heads but I've never cut one apart and re-welded it. I don't think that is a highly recommended route to take. I have replaced them with the bolt together style, different types, since they let you adjust height and angle to accommodate changes in tow vehicle, trailer or even trailer load. I usually set the ball height to 1 1/2" to 2" higher than the ball socket on the trailer with the trailer level, that allows for a little tongue weight to drop the truck a bit (distance varies with truck - I would use a smaller distance for an F250 with a light trailer than a F150 with a trailer up close to it's capacity). Then I set the angle so the arms are about level with the ground and the chains are at 90 degrees with the hitch done up and trailer at travel weight.
Brian